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22143411221232 = 2437557645118341
BaseRepresentation
bin1010000100011101010100…
…01010001111001011110000
32220101220000101211020012010
411002032222022033023300
510400244201233034412
6115032313115202520
74443544241550450
oct502165212171360
986356011736163
1022143411221232
117067a713a1a64
12259765b746440
13c481650615a2
14567a653c7d60
152860032a733c
hex1423aa28f2f0

22143411221232 has 160 divisors (see below), whose sum is σ = 65506880577024. Its totient is φ = 6314007168000.

The previous prime is 22143411221231. The next prime is 22143411221263. The reversal of 22143411221232 is 23212211434122.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22143411221232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143411221231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207308382 + ... + 1207326722.

Almost surely, 222143411221232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22143411221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32753440288512).

22143411221232 is an abundant number, since it is smaller than the sum of its proper divisors (43363469355792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22143411221232 is a wasteful number, since it uses less digits than its factorization.

22143411221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25367 (or 25361 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 22143411221232 its reverse (23212211434122), we get a palindrome (45355622655354).

The spelling of 22143411221232 in words is "twenty-two trillion, one hundred forty-three billion, four hundred eleven million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 557 1114 1671 2228 3342 3899 4456 6451 6684 7798 8912 11697 12902 13368 15596 18341 19353 23394 25804 26736 31192 36682 38706 45157 46788 51608 55023 62384 73364 77412 90314 93576 103216 110046 128387 135471 146728 154824 180628 187152 220092 256774 270942 293456 309648 361256 385161 440184 513548 541884 722512 770322 880368 1027096 1083768 1540644 2054192 2167536 3081288 3593207 6162576 7186414 10215937 10779621 14372828 20431874 21559242 25152449 28745656 30647811 40863748 43118484 50304898 57491312 61295622 71511559 75457347 81727496 86236968 100609796 118317791 122591244 143023118 150914694 163454992 172473936 201219592 214534677 236635582 245182488 286046236 301829388 354953373 402439184 429069354 473271164 490364976 572092472 603658776 709906746 828224537 858138708 946542328 1144184944 1207317552 1419813492 1656449074 1716277416 1893084656 2484673611 2839626984 3312898148 3432554832 4969347222 5679253968 6625796296 9938694444 13251592592 19877388888 39754777776 65903009587 131806019174 197709028761 263612038348 395418057522 461321067109 527224076696 790836115044 922642134218 1054448153392 1383963201327 1581672230088 1845284268436 2767926402654 3163344460176 3690568536872 5535852805308 7381137073744 11071705610616 22143411221232