Search a number
-
+
22232603221056 = 263434159125551
BaseRepresentation
bin1010000111000011011100…
…11010101101110001000000
32220201102020100022021110000
411003201232122231301000
510403224332411033211
6115141303353240000
74453152430210404
oct503415632556100
986642210267400
1022232603221056
1170a1880a08608
1225b09b1a03000
13c536aa65c447
1456c0c6c77104
152884c372b656
hex14386e6adc40

22232603221056 has 140 divisors (see below), whose sum is σ = 65906855069440. Its totient is φ = 7410591763200.

The previous prime is 22232603221039. The next prime is 22232603221061. The reversal of 22232603221056 is 65012230623222.

22232603221056 is a `hidden beast` number, since 2 + 2 + 2 + 32 + 603 + 2 + 2 + 10 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22232603221056.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 177017481 + ... + 177143031.

It is an arithmetic number, because the mean of its divisors is an integer number (470763250496).

Almost surely, 222232603221056 is an apocalyptic number.

It is an amenable number.

22232603221056 is an abundant number, since it is smaller than the sum of its proper divisors (43674251848384).

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

22232603221056 is a wasteful number, since it uses less digits than its factorization.

22232603221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159734 (or 159715 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 22232603221056 its reverse (65012230623222), we get a palindrome (87244833844278).

The spelling of 22232603221056 in words is "twenty-two trillion, two hundred thirty-two billion, six hundred three million, two hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 34159 68318 102477 125551 136636 204954 251102 273272 307431 376653 409908 502204 546544 614862 753306 819816 922293 1004408 1093088 1129959 1229724 1506612 1639632 1844586 2008816 2186176 2259918 2459448 2766879 3013224 3279264 3389877 3689172 4017632 4519836 4918896 5533758 6026448 6558528 6779754 7378344 8035264 9039672 9837792 10169631 11067516 12052896 13559508 14756688 18079344 19675584 20339262 22135032 24105792 27119016 29513376 36158688 40678524 44270064 54238032 59026752 72317376 81357048 88540128 108476064 162714096 177080256 216952128 325428192 650856384 4288696609 8577393218 12866089827 17154786436 25732179654 34309572872 38598269481 51464359308 68619145744 77196538962 102928718616 115794808443 137238291488 154393077924 205857437232 231589616886 274476582976 308786155848 347384425329 411714874464 463179233772 617572311696 694768850658 823429748928 926358467544 1235144623392 1389537701316 1852716935088 2470289246784 2779075402632 3705433870176 5558150805264 7410867740352 11116301610528 22232603221056