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22352235052 = 22717537112479
BaseRepresentation
bin10100110100010011…
…000000101000101100
32010200202200012010111
4110310103000220230
5331234133010202
614133553545404
71420623602020
oct246423005054
963622605114
1022352235052
119530288034
1243b9875264
132152b0b5b4
141120870380
158ac5096d7
hex5344c0a2c

22352235052 has 96 divisors (see below), whose sum is σ = 48910417920. Its totient is φ = 8720624640.

The previous prime is 22352235049. The next prime is 22352235079. The reversal of 22352235052 is 25053225322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1784949 + ... + 1797427.

It is an arithmetic number, because the mean of its divisors is an integer number (509483520).

Almost surely, 222352235052 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 22352235052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455208960).

22352235052 is an abundant number, since it is smaller than the sum of its proper divisors (26558182868).

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

22352235052 is a wasteful number, since it uses less digits than its factorization.

22352235052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The spelling of 22352235052 in words is "twenty-two billion, three hundred fifty-two million, two hundred thirty-five thousand, fifty-two".

Divisors: 1 2 4 7 14 17 28 34 53 68 71 106 119 142 212 238 284 371 476 497 742 901 994 1207 1484 1802 1988 2414 3604 3763 4828 6307 7526 8449 12479 12614 15052 16898 24958 25228 26341 33796 49916 52682 63971 87353 105364 127942 174706 212143 255884 349412 424286 447797 661387 848572 886009 895594 1322774 1485001 1772018 1791188 2645548 2970002 3544036 4629709 5940004 6202063 9259418 11243579 12404126 15062153 18518836 22487158 24808252 30124306 44974316 46958477 60248612 78705053 93916954 105435071 157410106 187833908 210870142 314820212 328709339 421740284 657418678 798294109 1314837356 1596588218 3193176436 5588058763 11176117526 22352235052