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23301100224 = 263419212451
BaseRepresentation
bin10101101100110110…
…101001001011000000
32020010220010112110000
4111230312221023000
5340210040201344
614412051240000
71453265040543
oct255466511300
966126115400
1023301100224
119977955526
1246235a9000
13227458398c
1411b08aa85a
15915989a69
hex56cda92c0

23301100224 has 210 divisors, whose sum is σ = 72904305804. Its totient is φ = 7357651200.

The previous prime is 23301100219. The next prime is 23301100231. The reversal of 23301100224 is 42200110332.

23301100224 is a `hidden beast` number, since 2 + 330 + 110 + 0 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23301100197 and 23301100206.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1865199 + ... + 1877649.

Almost surely, 223301100224 is an apocalyptic number.

23301100224 is a gapful number since it is divisible by the number (24) 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 23301100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36452152902).

23301100224 is an abundant number, since it is smaller than the sum of its proper divisors (49603205580).

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

23301100224 is a wasteful number, since it uses less digits than its factorization.

23301100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23301100224 its reverse (42200110332), we get a palindrome (65501210556).

The spelling of 23301100224 in words is "twenty-three billion, three hundred one million, one hundred thousand, two hundred twenty-four".