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229532497920 = 21132511257881
BaseRepresentation
bin1101010111000100110…
…0111111100000000000
3210221110111220000120200
43111301030333200000
512230040304413140
6253240142005200
722404013020015
oct3256114774000
9727414800520
10229532497920
1189387124a80
1238599b76800
131884c89a10b
14b1763d370c
155e86004030
hex357133f800

229532497920 has 576 divisors, whose sum is σ = 872203943520. Its totient is φ = 55364812800.

The previous prime is 229532497919. The next prime is 229532497933. The reversal of 229532497920 is 29794235922.

229532497920 is a `hidden beast` number, since 2 + 295 + 324 + 9 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 260535880 + ... + 260536760.

Almost surely, 2229532497920 is an apocalyptic number.

229532497920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229532497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436101971760).

229532497920 is an abundant number, since it is smaller than the sum of its proper divisors (642671445600).

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

229532497920 is a wasteful number, since it uses less digits than its factorization.

229532497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 229532497920 in words is "two hundred twenty-nine billion, five hundred thirty-two million, four hundred ninety-seven thousand, nine hundred twenty".