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229508627040 = 25345711972371
BaseRepresentation
bin1101010110111111000…
…1111011101001100000
3210221101211222020220000
43111233301323221200
512230013202031130
6253233530220000
722403303066430
oct3255761735140
9727354866800
10229508627040
1189374700480
1238591b84600
131884795cb34
14b17317c2c0
155e83d8b260
hex356fc7ba60

229508627040 has 960 divisors, whose sum is σ = 1020678962688. Its totient is φ = 47178547200.

The previous prime is 229508627027. The next prime is 229508627059. The reversal of 229508627040 is 40726805922.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96797055 + ... + 96799425.

Almost surely, 2229508627040 is an apocalyptic number.

229508627040 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 229508627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510339481344).

229508627040 is an abundant number, since it is smaller than the sum of its proper divisors (791170335648).

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

229508627040 is a wasteful number, since it uses less digits than its factorization.

229508627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 229508627040 in words is "two hundred twenty-nine billion, five hundred eight million, six hundred twenty-seven thousand, forty".