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230507072 = 2631223521
BaseRepresentation
bin11011011110101…
…00001001000000
3121001201222020222
431233110021000
5433002211242
634512322212
75466164165
oct1557241100
9531658228
10230507072
1110912a414
1265243368
13389a9023
142288406c
15153835d2
hexdbd4240

230507072 has 56 divisors (see below), whose sum is σ = 475195392. Its totient is φ = 110822400.

The previous prime is 230507033. The next prime is 230507089. The reversal of 230507072 is 270705032.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442172 + ... + 442692.

It is an arithmetic number, because the mean of its divisors is an integer number (8485632).

Almost surely, 2230507072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237597696).

230507072 is an abundant number, since it is smaller than the sum of its proper divisors (244688320).

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

230507072 is a wasteful number, since it uses less digits than its factorization.

230507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 230507072 is about 15182.4593528190. The cubic root of 230507072 is about 613.1424968137.

The spelling of 230507072 in words is "two hundred thirty million, five hundred seven thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 223 248 446 496 521 892 992 1042 1784 1984 2084 3568 4168 6913 7136 8336 13826 14272 16151 16672 27652 32302 33344 55304 64604 110608 116183 129208 221216 232366 258416 442432 464732 516832 929464 1033664 1858928 3601673 3717856 7203346 7435712 14406692 28813384 57626768 115253536 230507072