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2137122304 = 297357179
BaseRepresentation
bin111111101100001…
…1110011000000000
312111221101001122221
41333120132120000
513334100403204
6552021540424
7103650145162
oct17730363000
95457331587
102137122304
119a7393689
124b7874714
132809b7915
14163b90932
15c794b654
hex7f61e600

2137122304 has 40 divisors (see below), whose sum is σ = 4328640360. Its totient is φ = 1053904896.

The previous prime is 2137122301. The next prime is 2137122313. The reversal of 2137122304 is 4032217312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137122301) 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, 8787 + ... + 65965.

It is an arithmetic number, because the mean of its divisors is an integer number (108216009).

Almost surely, 22137122304 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 2137122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164320180).

2137122304 is an abundant number, since it is smaller than the sum of its proper divisors (2191518056).

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

2137122304 is an frugal number, since it uses more digits than its factorization.

2137122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57270 (or 57254 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2137122304 is about 46229.0201496852. The cubic root of 2137122304 is about 1288.0808560019.

Adding to 2137122304 its reverse (4032217312), we get a palindrome (6169339616).

The spelling of 2137122304 in words is "two billion, one hundred thirty-seven million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1168 2336 4672 9344 18688 37376 57179 114358 228716 457432 914864 1829728 3659456 4174067 7318912 8348134 14637824 16696268 29275648 33392536 66785072 133570144 267140288 534280576 1068561152 2137122304