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225670388112 = 243213196344759
BaseRepresentation
bin1101001000101100000…
…0001101100110010000
3210120111100122111220200
43102023000031212100
512144133104404422
6251401015335200
722206215435451
oct3221300154620
9716440574820
10225670388112
1187785061794
12378a0681500
13183856c7640
14accb4d5128
155d0be1a2ac
hex348b00d990

225670388112 has 120 divisors (see below), whose sum is σ = 715942718400. Its totient is φ = 65782450944.

The previous prime is 225670388107. The next prime is 225670388129. The reversal of 225670388112 is 211883076522.

225670388112 is a `hidden beast` number, since 2 + 2 + 567 + 0 + 3 + 8 + 81 + 1 + 2 = 666.

It is a super-3 number, since 3×2256703881123 (a number of 35 digits) contains 333 as substring.

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, 3136812 + ... + 3207947.

It is an arithmetic number, because the mean of its divisors is an integer number (5966189320).

Almost surely, 2225670388112 is an apocalyptic number.

It is an amenable number.

225670388112 is an abundant number, since it is smaller than the sum of its proper divisors (490272330288).

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

225670388112 is a wasteful number, since it uses less digits than its factorization.

225670388112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6344805 (or 6344796 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 225670388112 in words is "two hundred twenty-five billion, six hundred seventy million, three hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1872 1976 2223 2736 2964 3952 4446 5928 8892 11856 17784 35568 6344759 12689518 19034277 25379036 38068554 50758072 57102831 76137108 82481867 101516144 114205662 120550421 152274216 164963734 228411324 241100842 247445601 304548432 329927468 361651263 456822648 482201684 494891202 659854936 723302526 742336803 913645296 964403368 989782404 1084953789 1319709872 1446605052 1484673606 1567155473 1928806736 1979564808 2169907578 2893210104 2969347212 3134310946 3959129616 4339815156 4701466419 5786420208 5938694424 6268621892 8679630312 9402932838 11877388848 12537243784 14104399257 17359260624 18805865676 25074487568 28208798514 37611731352 56417597028 75223462704 112835194056 225670388112