Search a number
-
+
2232577013904 = 24351394131097
BaseRepresentation
bin100000011111001111111…
…101011011100010010000
321220102200010112022100000
4200133033331123202100
5243034304203421104
64425344241330000
7320204224335006
oct40371775334220
97812603468300
102232577013904
11790915580776
12300831636900
131326b9b00c23
147a0b3356a76
153d11b41a639
hex207cff5b890

2232577013904 has 120 divisors (see below), whose sum is σ = 6526143376480. Its totient is φ = 738838257408.

The previous prime is 2232577013899. The next prime is 2232577013921. The reversal of 2232577013904 is 4093107752322.

2232577013904 is a `hidden beast` number, since 2 + 2 + 3 + 257 + 7 + 0 + 1 + 390 + 4 = 666.

It is a super-3 number, since 3×22325770139043 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2232577013904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1525117 + ... + 2605980.

Almost surely, 22232577013904 is an apocalyptic number.

2232577013904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2232577013904 is an abundant number, since it is smaller than the sum of its proper divisors (4293566362576).

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

2232577013904 is a wasteful number, since it uses less digits than its factorization.

2232577013904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131259 (or 4131241 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 2232577013904 in words is "two trillion, two hundred thirty-two billion, five hundred seventy-seven million, thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 243 278 324 417 432 486 556 648 834 972 1112 1251 1296 1668 1944 2224 2502 3336 3753 3888 5004 6672 7506 10008 11259 15012 20016 22518 30024 33777 45036 60048 67554 90072 135108 180144 270216 540432 4131097 8262194 12393291 16524388 24786582 33048776 37179873 49573164 66097552 74359746 99146328 111539619 148719492 198292656 223079238 297438984 334618857 446158476 574222483 594877968 669237714 892316952 1003856571 1148444966 1338475428 1722667449 1784633904 2007713142 2296889932 2676950856 3445334898 4015426284 4593779864 5168002347 5353901712 6890669796 8030852568 9187559728 10336004694 13781339592 15504007041 16061705136 20672009388 27562679184 31008014082 41344018776 46512021123 62016028164 82688037552 93024042246 124032056328 139536063369 186048084492 248064112656 279072126738 372096168984 558144253476 744192337968 1116288506952 2232577013904