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22052565232 = 24192331101741
BaseRepresentation
bin10100100010011011…
…110111000011110000
32002220212210101102021
4110202123313003300
5330130424041412
614044131001224
71410324466045
oct244233670360
962825711367
1022052565232
119397109725
124335439214
1321059c7b89
1410d2b451cc
15891063607
hex5226f70f0

22052565232 has 80 divisors (see below), whose sum is σ = 48445470720. Its totient is φ = 9669369600.

The previous prime is 22052565217. The next prime is 22052565233. The reversal of 22052565232 is 23256525022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22052565233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165882 + ... + 267622.

It is an arithmetic number, because the mean of its divisors is an integer number (605568384).

Almost surely, 222052565232 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 22052565232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24222735360).

22052565232 is an abundant number, since it is smaller than the sum of its proper divisors (26392905488).

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

22052565232 is a wasteful number, since it uses less digits than its factorization.

22052565232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101822 (or 101816 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 22052565232 in words is "twenty-two billion, fifty-two million, five hundred sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 23 31 38 46 62 76 92 124 152 184 248 304 368 437 496 589 713 874 1178 1426 1748 2356 2852 3496 4712 5704 6992 9424 11408 13547 27094 54188 101741 108376 203482 216752 406964 813928 1627856 1933079 2340043 3153971 3866158 4680086 6307942 7732316 9360172 12615884 15464632 18720344 25231768 30929264 37440688 44460817 50463536 59925449 72541333 88921634 119850898 145082666 177843268 239701796 290165332 355686536 479403592 580330664 711373072 958807184 1160661328 1378285327 2756570654 5513141308 11026282616 22052565232