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2137220288 = 2674770581
BaseRepresentation
bin111111101100011…
…0110010011000000
312111221120001001222
41333120312103000
513334112022123
6552024014212
7103651033640
oct17730662300
95457501058
102137220288
119a7450265
124b7901368
13280a203b8
14163bb8520
15c796a6c8
hex7f6364c0

2137220288 has 28 divisors (see below), whose sum is σ = 4846911312. Its totient is φ = 915951360.

The previous prime is 2137220287. The next prime is 2137220299. The reversal of 2137220288 is 8820227312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×21372202883 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2137220287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2384843 + ... + 2385738.

Almost surely, 22137220288 is an apocalyptic number.

2137220288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2137220288 is an abundant number, since it is smaller than the sum of its proper divisors (2709691024).

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

2137220288 is an equidigital number, since it uses as much as digits as its factorization.

2137220288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770600 (or 4770590 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2137220288 is about 46230.0799047547. The cubic root of 2137220288 is about 1288.1005412559.

The spelling of 2137220288 in words is "two billion, one hundred thirty-seven million, two hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 4770581 9541162 19082324 33394067 38164648 66788134 76329296 133576268 152658592 267152536 305317184 534305072 1068610144 2137220288