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225970992 = 24331340237
BaseRepresentation
bin11010111100000…
…00101100110000
3120202012111221000
431132000230300
5430322032432
634231202000
75412502362
oct1536005460
9522174830
10225970992
11106611395
1263816300
1337a7b460
1422022d32
1514c8957c
hexd780b30

225970992 has 80 divisors (see below), whose sum is σ = 698531680. Its totient is φ = 69527808.

The previous prime is 225970981. The next prime is 225971027. The reversal of 225970992 is 299079522.

It is a happy number.

225970992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14503 + ... + 25734.

It is an arithmetic number, because the mean of its divisors is an integer number (8731646).

Almost surely, 2225970992 is an apocalyptic number.

It is an amenable number.

225970992 is an abundant number, since it is smaller than the sum of its proper divisors (472560688).

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

225970992 is a wasteful number, since it uses less digits than its factorization.

225970992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40267 (or 40255 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 225970992 is about 15032.3315556836. The cubic root of 225970992 is about 609.0938727871.

The spelling of 225970992 in words is "two hundred twenty-five million, nine hundred seventy thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 40237 80474 120711 160948 241422 321896 362133 482844 523081 643792 724266 965688 1046162 1086399 1448532 1569243 1931376 2092324 2172798 2897064 3138486 4184648 4345596 4707729 5794128 6276972 8369296 8691192 9415458 12553944 14123187 17382384 18830916 25107888 28246374 37661832 56492748 75323664 112985496 225970992