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2144857590 = 23357943917
BaseRepresentation
bin111111111010111…
…1110110111110110
312112110221001111000
41333311332313312
513343040420330
6552455424130
7104102663061
oct17765766766
95473831430
102144857590
11a00797287
124ba385046
13282495705
14164c058d8
15c8478560
hex7fd7edf6

2144857590 has 32 divisors (see below), whose sum is σ = 5719620960. Its totient is φ = 571961952.

The previous prime is 2144857577. The next prime is 2144857591. The reversal of 2144857590 is 957584412.

2144857590 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 8 + 57 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144857591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3971689 + ... + 3972228.

It is an arithmetic number, because the mean of its divisors is an integer number (178738155).

Almost surely, 22144857590 is an apocalyptic number.

2144857590 is an abundant number, since it is smaller than the sum of its proper divisors (3574763370).

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

2144857590 is a wasteful number, since it uses less digits than its factorization.

2144857590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7943933 (or 7943927 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 2144857590 is about 46312.6072468394. The cubic root of 2144857590 is about 1289.6330486832.

The spelling of 2144857590 in words is "two billion, one hundred forty-four million, eight hundred fifty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 7943917 15887834 23831751 39719585 47663502 71495253 79439170 119158755 142990506 214485759 238317510 357476265 428971518 714952530 1072428795 2144857590