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226463952 = 243111332993
BaseRepresentation
bin11010111111110…
…01000011010000
3120210010120010210
431133321003100
5430433321302
634245524120
75416624521
oct1537710320
9523116123
10226463952
111069187a0
1263a13640
1337bc1950
1422110848
1514d3566c
hexd7f90d0

226463952 has 80 divisors (see below), whose sum is σ = 687331008. Its totient is φ = 63344640.

The previous prime is 226463891. The next prime is 226463977. The reversal of 226463952 is 259364622.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 226463952.

It is a congruent number.

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, 9633 + ... + 23360.

Almost surely, 2226463952 is an apocalyptic number.

226463952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

226463952 is an abundant number, since it is smaller than the sum of its proper divisors (460867056).

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

226463952 is a wasteful number, since it uses less digits than its factorization.

226463952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33028 (or 33022 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 226463952 is about 15048.7192810551. The cubic root of 226463952 is about 609.5364677074.

The spelling of 226463952 in words is "two hundred twenty-six million, four hundred sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 32993 65986 98979 131972 197958 263944 362923 395916 428909 527888 725846 791832 857818 1088769 1286727 1451692 1583664 1715636 2177538 2573454 2903384 3431272 4355076 4717999 5146908 5806768 6862544 8710152 9435998 10293816 14153997 17420304 18871996 20587632 28307994 37743992 56615988 75487984 113231976 226463952