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2692200096 = 253217952223
BaseRepresentation
bin1010000001110111…
…1011011010100000
320221121211221020200
42200131323122200
521003200400341
61123051105200
7123500215605
oct24035733240
96847757220
102692200096
111161749863
12631742200
1333b9b5411
141b77a26ac
1510b543db6
hexa077b6a0

2692200096 has 72 divisors (see below), whose sum is σ = 7698862080. Its totient is φ = 892369536.

The previous prime is 2692200089. The next prime is 2692200113. The reversal of 2692200096 is 6900022962.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2692200096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25441 + ... + 77663.

It is an arithmetic number, because the mean of its divisors is an integer number (106928640).

Almost surely, 22692200096 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 2692200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849431040).

2692200096 is an abundant number, since it is smaller than the sum of its proper divisors (5006661984).

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

2692200096 is a wasteful number, since it uses less digits than its factorization.

2692200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52418 (or 52407 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2692200096 is about 51886.4153319537. The cubic root of 2692200096 is about 1391.1344698616.

The spelling of 2692200096 in words is "two billion, six hundred ninety-two million, two hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 12888 17184 25776 51552 52223 104446 156669 208892 313338 417784 470007 626676 835568 940014 1253352 1671136 1880028 2506704 3760056 5013408 7520112 9347917 15040224 18695834 28043751 37391668 56087502 74783336 84131253 112175004 149566672 168262506 224350008 299133344 336525012 448700016 673050024 897400032 1346100048 2692200096