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342225237852 = 223219149770977
BaseRepresentation
bin1001111101011100011…
…01101011011101011100
31012201100021011100201100
410332232031223131130
521101334130102402
6421114402313100
733503442345141
oct4765615533534
91181307140640
10342225237852
11122156252493
12563aa658790
132636bc0b054
14127c707a3c8
158d7e6ea71c
hex4fae36b75c

342225237852 has 36 divisors (see below), whose sum is σ = 869598527616. Its totient is φ = 113477825280.

The previous prime is 342225237847. The next prime is 342225237853. The reversal of 342225237852 is 258732522243.

342225237852 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 2 + 523 + 78 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3422252378522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 342225237798 and 342225237807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342225237853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24878613 + ... + 24892364.

It is an arithmetic number, because the mean of its divisors is an integer number (24155514656).

Almost surely, 2342225237852 is an apocalyptic number.

It is an amenable number.

342225237852 is an abundant number, since it is smaller than the sum of its proper divisors (527373289764).

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

342225237852 is a wasteful number, since it uses less digits than its factorization.

342225237852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49771178 (or 49771173 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 342225237852 in words is "three hundred forty-two billion, two hundred twenty-five million, two hundred thirty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 191 382 573 764 1146 1719 2292 3438 6876 49770977 99541954 149312931 199083908 298625862 447938793 597251724 895877586 1791755172 9506256607 19012513214 28518769821 38025026428 57037539642 85556309463 114075079284 171112618926 342225237852