Search a number
-
+
221423375844 = 22351125182507
BaseRepresentation
bin1100111000110111011…
…1001001010111100100
3210011112101010221100000
43032031313021113210
512111433341011334
6245415343221300
721666035432466
oct3161567112744
9704471127300
10221423375844
11859a57a55a0
1236ab62a7830
1317b5986b428
14aa07442136
155b5e151299
hex338ddc95e4

221423375844 has 144 divisors (see below), whose sum is σ = 635736681216. Its totient is φ = 66829860000.

The previous prime is 221423375801. The next prime is 221423375851. The reversal of 221423375844 is 448573324122.

221423375844 is a `hidden beast` number, since 2 + 2 + 14 + 23 + 37 + 584 + 4 = 666.

It is a super-2 number, since 2×2214233758442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221423375844.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2642439 + ... + 2724945.

It is an arithmetic number, because the mean of its divisors is an integer number (4414838064).

Almost surely, 2221423375844 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 221423375844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317868340608).

221423375844 is an abundant number, since it is smaller than the sum of its proper divisors (414313305372).

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

221423375844 is a wasteful number, since it uses less digits than its factorization.

221423375844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82788 (or 82774 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

Adding to 221423375844 its reverse (448573324122), we get a palindrome (669996699966).

The spelling of 221423375844 in words is "two hundred twenty-one billion, four hundred twenty-three million, three hundred seventy-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 251 297 324 396 486 502 594 753 891 972 1004 1188 1506 1782 2259 2673 2761 3012 3564 4518 5346 5522 6777 8283 9036 10692 11044 13554 16566 20331 24849 27108 33132 40662 49698 60993 74547 81324 82507 99396 121986 149094 165014 223641 243972 247521 298188 330028 447282 495042 670923 742563 894564 907577 990084 1341846 1485126 1815154 2227689 2683692 2722731 2970252 3630308 4455378 5445462 6683067 8168193 8910756 10890924 13366134 16336386 20049201 20709257 24504579 26732268 32672772 40098402 41418514 49009158 62127771 73513737 80196804 82837028 98018316 124255542 147027474 186383313 220541211 227801827 248511084 294054948 372766626 441082422 455603654 559149939 683405481 745533252 882164844 911207308 1118299878 1366810962 1677449817 2050216443 2236599756 2733621924 3354899634 4100432886 5032349451 6150649329 6709799268 8200865772 10064698902 12301298658 18451947987 20129397804 24602597316 36903895974 55355843961 73807791948 110711687922 221423375844