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312332224420 = 22560292590249
BaseRepresentation
bin1001000101110000111…
…00111000011110100100
31002212011222011221022201
410202320130320132210
520104124022140140
6355252231304244
731364612050366
oct4427034703644
91085158157281
10312332224420
11110506442007
125064751b084
13235b6a64818
141118cd20d36
1581d01a649a
hex48b87387a4

312332224420 has 24 divisors (see below), whose sum is σ = 656006715000. Its totient is φ = 124912119552.

The previous prime is 312332224417. The next prime is 312332224469. The reversal of 312332224420 is 24422233213.

It can be written as a sum of positive squares in 4 ways, for example, as 24171542784 + 288160681636 = 155472^2 + 536806^2 .

It is a super-2 number, since 2×3123322244202 (a number of 24 digits) contains 22 as substring.

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, 1174545 + ... + 1415704.

It is an arithmetic number, because the mean of its divisors is an integer number (27333613125).

Almost surely, 2312332224420 is an apocalyptic number.

It is an amenable number.

312332224420 is an abundant number, since it is smaller than the sum of its proper divisors (343674490580).

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

312332224420 is a wasteful number, since it uses less digits than its factorization.

312332224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596287 (or 2596285 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 312332224420 its reverse (24422233213), we get a palindrome (336754457633).

The spelling of 312332224420 in words is "three hundred twelve billion, three hundred thirty-two million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6029 12058 24116 30145 60290 120580 2590249 5180498 10360996 12951245 25902490 51804980 15616611221 31233222442 62466444884 78083056105 156166112210 312332224420