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132212333332224 = 283257383825231
BaseRepresentation
bin11110000011111100010101…
…001010011100011100000000
3122100010101010211111000102200
4132003330111022130130000
5114312131324313112344
61145105301335113200
736564011604564405
oct3603742512343400
9570111124430380
10132212333332224
1139143a32441262
12129b3776b12800
1358a075336b932
14249117ab1a2ac
15104422d661069
hex783f1529c700

132212333332224 has 54 divisors (see below), whose sum is σ = 381200751016176. Its totient is φ = 44070777776640.

The previous prime is 132212333332213. The next prime is 132212333332283. The reversal of 132212333332224 is 422233333212231.

132212333332224 is a `hidden beast` number, since 1 + 32 + 21 + 23 + 33 + 332 + 224 = 666.

It is a super-2 number, since 2×1322123333322242 (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28691910312 + ... + 28691914919.

Almost surely, 2132212333332224 is an apocalyptic number.

It is an amenable number.

132212333332224 is an abundant number, since it is smaller than the sum of its proper divisors (248988417683952).

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

132212333332224 is an equidigital number, since it uses as much as digits as its factorization.

132212333332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57383825253 (or 57383825236 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 132212333332224 its reverse (422233333212231), we get a palindrome (554445666544455).

The spelling of 132212333332224 in words is "one hundred thirty-two trillion, two hundred twelve billion, three hundred thirty-three million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 57383825231 114767650462 172151475693 229535300924 344302951386 459070601848 516454427079 688605902772 918141203696 1032908854158 1377211805544 1836282407392 2065817708316 2754423611088 3672564814784 4131635416632 5508847222176 7345129629568 8263270833264 11017694444352 14690259259136 16526541666528 22035388888704 33053083333056 44070777777408 66106166666112 132212333332224