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12220500352 = 27833892957
BaseRepresentation
bin10110110000110011…
…00000100110000000
31011112200000201222011
423120121200212000
5200011422002402
65340343422304
7611556352624
oct133031404600
934480021864
1012220500352
115201176875
122450754994
1311c9a48bc8
1483d019184
154b7cc8ed7
hex2d8660980

12220500352 has 64 divisors (see below), whose sum is σ = 24710540400. Its totient is φ = 6019078144.

The previous prime is 12220500311. The next prime is 12220500361. The reversal of 12220500352 is 25300502221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4131258 + ... + 4134214.

Almost surely, 212220500352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355270200).

12220500352 is an abundant number, since it is smaller than the sum of its proper divisors (12490040048).

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

12220500352 is an equidigital number, since it uses as much as digits as its factorization.

12220500352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 12220500352 in words is "twelve billion, two hundred twenty million, five hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 389 664 778 1328 1556 2656 2957 3112 5312 5914 6224 10624 11828 12448 23656 24896 32287 47312 49792 64574 94624 129148 189248 245431 258296 378496 490862 516592 981724 1033184 1150273 1963448 2066368 2300546 3926896 4132736 4601092 7853792 9202184 15707584 18404368 31415168 36808736 73617472 95472659 147234944 190945318 381890636 763781272 1527562544 3055125088 6110250176 12220500352