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229623247020300 = 22352721929436471019
BaseRepresentation
bin110100001101011101010100…
…000100100010000100001100
31010010000202201220010102210120
4310031131110010202010030
5220044121402214122200
62132211244032504540
766236506056354300
oct6415352404420414
91103022656112716
10229623247020300
116718a74374a481
12219066349ab150
139b184c138a2c3
14409bb7843bd00
151b830632c59a0
hexd0d75412210c

229623247020300 has 1728 divisors, whose sum is σ = 863323743744000. Its totient is φ = 46773449533440.

The previous prime is 229623247020283. The next prime is 229623247020353. The reversal of 229623247020300 is 3020742326922.

It is a super-2 number, since 2×2296232470203002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 225341753191 + ... + 225341754209.

It is an arithmetic number, because the mean of its divisors is an integer number (499608648000).

Almost surely, 2229623247020300 is an apocalyptic number.

229623247020300 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 229623247020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431661871872000).

229623247020300 is an abundant number, since it is smaller than the sum of its proper divisors (633700496723700).

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

229623247020300 is a wasteful number, since it uses less digits than its factorization.

229623247020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 229623247020300 in words is "two hundred twenty-nine trillion, six hundred twenty-three billion, two hundred forty-seven million, twenty thousand, three hundred".