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532221920 = 25519296037
BaseRepresentation
bin11111101110010…
…000111111100000
31101002110200012222
4133232100333200
52042222100140
6124451210212
716121545256
oct3756207740
91332420188
10532221920
1125347522a
1212a2a6968
1386357519
14509825d6
1531ad05b5
hex1fb90fe0

532221920 has 96 divisors (see below), whose sum is σ = 1369418400. Its totient is φ = 194697216.

The previous prime is 532221917. The next prime is 532221931. The reversal of 532221920 is 29122235.

It is a self number, because there is not a number n which added to its sum of digits gives 532221920.

It is a congruent number.

It is an unprimeable number.

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, 85142 + ... + 91178.

It is an arithmetic number, because the mean of its divisors is an integer number (14264775).

Almost surely, 2532221920 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 532221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684709200).

532221920 is an abundant number, since it is smaller than the sum of its proper divisors (837196480).

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

532221920 is a wasteful number, since it uses less digits than its factorization.

532221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 532221920 is about 23069.9354138671. The cubic root of 532221920 is about 810.3965542891.

The spelling of 532221920 in words is "five hundred thirty-two million, two hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 145 152 160 190 232 290 304 380 464 551 580 608 760 928 1102 1160 1520 2204 2320 2755 3040 4408 4640 5510 6037 8816 11020 12074 17632 22040 24148 30185 44080 48296 60370 88160 96592 114703 120740 175073 193184 229406 241480 350146 458812 482960 573515 700292 875365 917624 965920 1147030 1400584 1750730 1835248 2294060 2801168 3326387 3501460 3670496 4588120 5602336 6652774 7002920 9176240 13305548 14005840 16631935 18352480 26611096 28011680 33263870 53222192 66527740 106444384 133055480 266110960 532221920