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232422245104 = 2472922699173
BaseRepresentation
bin1101100001110101110…
…0100000001011110000
3211012220220110101111011
43120131130200023300
512302000043320404
6254435011200304
722535432325640
oct3303534401360
9735826411434
10232422245104
118a62a330895
12390658a6094
1318bc048b1aa
14b36c0da520
1560a4a6a604
hex361d7202f0

232422245104 has 120 divisors (see below), whose sum is σ = 535047495840. Its totient is φ = 95806749696.

The previous prime is 232422245093. The next prime is 232422245123. The reversal of 232422245104 is 401542224232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 25333062 + ... + 25342234.

It is an arithmetic number, because the mean of its divisors is an integer number (4458729132).

Almost surely, 2232422245104 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 232422245104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267523747920).

232422245104 is an abundant number, since it is smaller than the sum of its proper divisors (302625250736).

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

232422245104 is a wasteful number, since it uses less digits than its factorization.

232422245104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 232422245104 its reverse (401542224232), we get a palindrome (633964469336).

The spelling of 232422245104 in words is "two hundred thirty-two billion, four hundred twenty-two million, two hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 269 406 464 538 812 841 1076 1624 1682 1883 2152 3248 3364 3766 4304 5887 6728 7532 7801 9173 11774 13456 15064 15602 18346 23548 30128 31204 36692 47096 54607 62408 64211 73384 94192 109214 124816 128422 146768 218428 226229 256844 266017 436856 452458 513688 532034 873712 904916 1027376 1064068 1583603 1809832 1862119 2128136 2467537 3167206 3619664 3724238 4256272 4935074 6334412 7448476 7714493 9870148 12668824 14896952 15428986 17272759 19740296 25337648 29793904 30857972 34545518 39480592 54001451 61715944 69091036 71558573 108002902 123431888 138182072 143117146 216005804 276364144 286234292 432011608 500910011 572468584 864023216 1001820022 1144937168 2003640044 2075198617 4007280088 4150397234 8014560176 8300794468 14526390319 16601588936 29052780638 33203177872 58105561276 116211122552 232422245104