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42232023225 = 3252724389083
BaseRepresentation
bin100111010101001110…
…011000100010111001
311001000020000001202100
4213111032120202321
51142442344220400
631222350454013
73023356163100
oct472516304271
9131006001670
1042232023225
1116a01970137
128227504309
133ca0616a72
142088bc3037
15117292c100
hex9d53988b9

42232023225 has 108 divisors (see below), whose sum is σ = 90039336816. Its totient is φ = 18856877760.

The previous prime is 42232023217. The next prime is 42232023233. The reversal of 42232023225 is 52232023224.

42232023225 is a `hidden beast` number, since 422 + 3 + 2 + 0 + 232 + 2 + 5 = 666.

42232023225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42232023217) and next prime (42232023233).

It is not a de Polignac number, because 42232023225 - 23 = 42232023217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 429534 + ... + 518616.

Almost surely, 242232023225 is an apocalyptic number.

42232023225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42232023225 is an abundant number, since it is smaller than the sum of its proper divisors (47807313591).

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

42232023225 is a wasteful number, since it uses less digits than its factorization.

42232023225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89156 (or 89141 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 42232023225 its reverse (52232023224), we get a palindrome (94464046449).

Subtracting 42232023225 from its reverse (52232023224), we obtain a palindrome (9999999999).

The spelling of 42232023225 in words is "forty-two billion, two hundred thirty-two million, twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 43 45 49 63 75 105 129 147 175 215 225 245 301 315 387 441 525 645 735 903 1075 1225 1505 1575 1935 2107 2205 2709 3225 3675 4515 6321 7525 9675 10535 11025 13545 18963 22575 31605 52675 67725 89083 94815 158025 267249 445415 474075 623581 801747 1336245 1870743 2227075 3117905 3830569 4008735 4365067 5612229 6681225 9353715 11491707 13095201 15589525 19152845 20043675 21825335 26813983 28061145 34475121 39285603 46768575 57458535 65476005 80441949 95764225 109126675 134069915 140305725 172375605 187697881 196428015 241325847 287292675 327380025 402209745 563093643 670349575 861878025 938489405 982140075 1206629235 1689280929 2011048725 2815468215 4692447025 6033146175 8446404645 14077341075 42232023225