Search a number
-
+
2251514252232 = 233277956547977
BaseRepresentation
bin100000110000111000101…
…101010000101111001000
321222020112220021200122100
4200300320231100233020
5243342100122032412
64442155324153400
7321444423242250
oct40607055205710
97866486250570
102251514252232
1179895310a163
12304437698860
131344172656ab
147ad8c434960
153d878c08edc
hex20c38b50bc8

2251514252232 has 96 divisors (see below), whose sum is σ = 7057187654400. Its totient is φ = 635146866432.

The previous prime is 2251514252227. The next prime is 2251514252237. The reversal of 2251514252232 is 2322524151522.

2251514252232 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 5 + 1 + 425 + 223 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2251514252227) and next prime (2251514252237).

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

It is not an unprimeable number, because it can be changed into a prime (2251514252237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28234173 + ... + 28313804.

It is an arithmetic number, because the mean of its divisors is an integer number (73512371400).

Almost surely, 22251514252232 is an apocalyptic number.

It is an amenable number.

2251514252232 is an abundant number, since it is smaller than the sum of its proper divisors (4805673402168).

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

2251514252232 is a wasteful number, since it uses less digits than its factorization.

2251514252232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56548075 (or 56548068 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 2251514252232 in words is "two trillion, two hundred fifty-one billion, five hundred fourteen million, two hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 4424 4977 5688 6636 9954 13272 19908 39816 56547977 113095954 169643931 226191908 339287862 395835839 452383816 508931793 678575724 791671678 1017863586 1187507517 1357151448 1583343356 2035727172 2375015034 3166686712 3562522551 4071454344 4467290183 4750030068 7125045102 8934580366 9500060136 13401870549 14250090204 17869160732 26803741098 28500180408 31271031281 35738321464 40205611647 53607482196 62542062562 80411223294 93813093843 107214964392 125084125124 160822446588 187626187686 250168250248 281439281529 321644893176 375252375372 562878563058 750504750744 1125757126116 2251514252232