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2170481264 = 247219145709
BaseRepresentation
bin1000000101011110…
…1110101001110000
312121021010212112222
42001113232221300
513421120400024
6555212540212
7104533533500
oct20127565160
95537125488
102170481264
11a141a8776
12506a81668
13287897753
14168395a00
15ca83a85e
hex815eea70

2170481264 has 60 divisors (see below), whose sum is σ = 5149391400. Its totient is φ = 881241984.

The previous prime is 2170481237. The next prime is 2170481267. The reversal of 2170481264 is 4621840712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170481267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57959 + ... + 87750.

It is an arithmetic number, because the mean of its divisors is an integer number (85823190).

Almost surely, 22170481264 is an apocalyptic number.

It is an amenable number.

2170481264 is an abundant number, since it is smaller than the sum of its proper divisors (2978910136).

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

2170481264 is a wasteful number, since it uses less digits than its factorization.

2170481264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145750 (or 145737 counting only the distinct ones).

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

The square root of 2170481264 is about 46588.4241416256. The cubic root of 2170481264 is about 1294.7482929346.

The spelling of 2170481264 in words is "two billion, one hundred seventy million, four hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 14896 145709 291418 582836 1019963 1165672 2039926 2331344 2768471 4079852 5536942 7139741 8159704 11073884 14279482 16319408 19379297 22147768 28558964 38758594 44295536 57117928 77517188 114235856 135655079 155034376 271310158 310068752 542620316 1085240632 2170481264