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2229515728 = 2411177091051
BaseRepresentation
bin1000010011100011…
…1011010111010000
312202101020010121121
42010320323113100
514031224000403
61005122132024
7106151366566
oct20470732720
95671203547
102229515728
11a4455a190
125227b1014
13296b9709b
14172161a36
15d0aec3bd
hex84e3b5d0

2229515728 has 80 divisors (see below), whose sum is σ = 5001376320. Its totient is φ = 951552000.

The previous prime is 2229515723. The next prime is 2229515731. The reversal of 2229515728 is 8275159222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229515723) 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, 2120803 + ... + 2121853.

It is an arithmetic number, because the mean of its divisors is an integer number (62517204).

Almost surely, 22229515728 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 2229515728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500688160).

2229515728 is an abundant number, since it is smaller than the sum of its proper divisors (2771860592).

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

2229515728 is a wasteful number, since it uses less digits than its factorization.

2229515728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1790 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 2229515728 is about 47217.7480191506. The cubic root of 2229515728 is about 1306.3819768273.

The spelling of 2229515728 in words is "two billion, two hundred twenty-nine million, five hundred fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 709 748 1051 1418 1496 2102 2836 2992 4204 5672 7799 8408 11344 11561 12053 15598 16816 17867 23122 24106 31196 35734 46244 48212 62392 71468 92488 96424 124784 132583 142936 184976 192848 196537 265166 285872 393074 530332 745159 786148 1060664 1490318 1572296 2121328 2980636 3144592 5961272 8196749 11922544 12667703 16393498 25335406 32786996 50670812 65573992 101341624 131147984 139344733 202683248 278689466 557378932 1114757864 2229515728