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20232202223232 = 2732138112717361
BaseRepresentation
bin1001001100110101011010…
…01110011111111010000000
32122122011211221220121212200
410212122231032133322000
510122441022232120412
6111010313445353200
74155504555243426
oct446325516377200
978564757817780
1020232202223232
1164a047978016a
122329177708800
13b39b71cc756c
144dd35b043116
1525144543e9dc
hex1266ad39fe80

20232202223232 has 96 divisors (see below), whose sum is σ = 58262432051460. Its totient is φ = 6739183411200.

The previous prime is 20232202223173. The next prime is 20232202223287. The reversal of 20232202223232 is 23232220223202.

20232202223232 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 2 + 202 + 223 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19005902899776 + 1226299323456 = 4359576^2 + 1107384^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20232202223196 and 20232202223205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4767769 + ... + 7949592.

Almost surely, 220232202223232 is an apocalyptic number.

It is an amenable number.

20232202223232 is an abundant number, since it is smaller than the sum of its proper divisors (38030229828228).

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

20232202223232 is a wasteful number, since it uses less digits than its factorization.

20232202223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12718762 (or 12718747 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20232202223232 its reverse (23232220223202), we get a palindrome (43464422446434).

The spelling of 20232202223232 in words is "twenty trillion, two hundred thirty-two billion, two hundred two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1381 2762 4143 5524 8286 11048 12429 16572 22096 24858 33144 44192 49716 66288 88384 99432 132576 176768 198864 265152 397728 530304 795456 1590912 12717361 25434722 38152083 50869444 76304166 101738888 114456249 152608332 203477776 228912498 305216664 406955552 457824996 610433328 813911104 915649992 1220866656 1627822208 1831299984 2441733312 3662599968 4883466624 7325199936 14650399872 17562675541 35125351082 52688026623 70250702164 105376053246 140501404328 158064079869 210752106492 281002808656 316128159738 421504212984 562005617312 632256319476 843008425968 1124011234624 1264512638952 1686016851936 2248022469248 2529025277904 3372033703872 5058050555808 6744067407744 10116101111616 20232202223232