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229482097920 = 283453171399
BaseRepresentation
bin1101010110111000110…
…0101110110100000000
3210221100000001102210000
43111232030232310000
512224434404113140
6253231141440000
722402531435155
oct3255614566400
9727300042700
10229482097920
1189360730789
1238585110000
131884230192a
14b16d83422c
155e8189aa30
hex356e32ed00

229482097920 has 360 divisors, whose sum is σ = 847628812800. Its totient is φ = 59220357120.

The previous prime is 229482097903. The next prime is 229482097967. The reversal of 229482097920 is 29790284922.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3178381 + ... + 3249779.

It is an arithmetic number, because the mean of its divisors is an integer number (2354524480).

Almost surely, 2229482097920 is an apocalyptic number.

229482097920 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 229482097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423814406400).

229482097920 is an abundant number, since it is smaller than the sum of its proper divisors (618146714880).

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

229482097920 is an equidigital number, since it uses as much as digits as its factorization.

229482097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71463 (or 71440 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 229482097920 in words is "two hundred twenty-nine billion, four hundred eighty-two million, ninety-seven thousand, nine hundred twenty".