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223625763900 = 22345272111723131
BaseRepresentation
bin1101000001000100100…
…0100101110000111100
3210101012212022211210000
43100101020211300330
512130441143421100
6250422100114300
722104440426100
oct3202110456074
9711185284700
10223625763900
1186925a06310
123740b995990
131811ac27a26
14ab75b41900
155c3c690900
hex3411225c3c

223625763900 has 2160 divisors, whose sum is σ = 1024138950912. Its totient is φ = 41513472000.

The previous prime is 223625763887. The next prime is 223625763913. The reversal of 223625763900 is 9367526322.

223625763900 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 2 + 5 + 7 + 639 + 0 + 0 = 666.

223625763900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223625763887) and next prime (223625763913).

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 719 ways as a sum of consecutive naturals, for example, 1707066835 + ... + 1707066965.

Almost surely, 2223625763900 is an apocalyptic number.

223625763900 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 223625763900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512069475456).

223625763900 is an abundant number, since it is smaller than the sum of its proper divisors (800513187012).

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

223625763900 is a wasteful number, since it uses less digits than its factorization.

223625763900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 223625763900 in words is "two hundred twenty-three billion, six hundred twenty-five million, seven hundred sixty-three thousand, nine hundred".