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2044232568 = 233272718161
BaseRepresentation
bin111100111011000…
…1000001101111000
312021110120202220100
41321312020031320
513141310420233
6534502555400
7101441455500
oct17166101570
95243522810
102044232568
11959a09204
12490738b60
13267693591
141556d0a00
15be6ed813
hex79d88378

2044232568 has 144 divisors (see below), whose sum is σ = 6531885360. Its totient is φ = 575769600.

The previous prime is 2044232563. The next prime is 2044232581. The reversal of 2044232568 is 8652324402.

2044232568 is a `hidden beast` number, since 20 + 4 + 42 + 32 + 568 = 666.

2044232568 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044232563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246408 + ... + 254568.

It is an arithmetic number, because the mean of its divisors is an integer number (45360315).

Almost surely, 22044232568 is an apocalyptic number.

2044232568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044232568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265942680).

2044232568 is an abundant number, since it is smaller than the sum of its proper divisors (4487652792).

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

2044232568 is a wasteful number, since it uses less digits than its factorization.

2044232568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2044232568 is about 45213.1901993213. The cubic root of 2044232568 is about 1269.1416623555.

The spelling of 2044232568 in words is "two billion, forty-four million, two hundred thirty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 71 72 84 98 126 142 147 168 196 213 252 284 294 392 426 441 497 504 568 588 639 852 882 994 1176 1278 1491 1704 1764 1988 2556 2982 3479 3528 3976 4473 5112 5964 6958 8161 8946 10437 11928 13916 16322 17892 20874 24483 27832 31311 32644 35784 41748 48966 57127 62622 65288 73449 83496 97932 114254 125244 146898 171381 195864 228508 250488 293796 342762 399889 457016 514143 579431 587592 685524 799778 1028286 1158862 1199667 1371048 1599556 1738293 2056572 2317724 2399334 3199112 3476586 3599001 4056017 4113144 4635448 4798668 5214879 6953172 7198002 8112034 9597336 10429758 12168051 13906344 14396004 16224068 20859516 24336102 28392119 28792008 32448136 36504153 41719032 48672204 56784238 73008306 85176357 97344408 113568476 146016612 170352714 227136952 255529071 292033224 340705428 511058142 681410856 1022116284 2044232568