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232515030 = 2351137137139
BaseRepresentation
bin11011101101111…
…10010111010110
3121012111222122210
431312332113112
5434010440110
635023334250
75522226246
oct1566762726
9535458583
10232515030
1110a280a90
1265a51386
133922cc77
1422c47b26
151562d520
hexddbe5d6

232515030 has 128 divisors (see below), whose sum is σ = 634314240. Its totient is φ = 54051840.

The previous prime is 232515007. The next prime is 232515043. The reversal of 232515030 is 30515232.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 232514988 and 232515006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1672701 + ... + 1672839.

It is an arithmetic number, because the mean of its divisors is an integer number (4955580).

Almost surely, 2232515030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232515030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317157120).

232515030 is an abundant number, since it is smaller than the sum of its proper divisors (401799210).

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

232515030 is a wasteful number, since it uses less digits than its factorization.

232515030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 232515030 is about 15248.4435271276. The cubic root of 232515030 is about 614.9177231462.

The spelling of 232515030 in words is "two hundred thirty-two million, five hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 137 139 165 185 222 274 278 330 370 407 411 417 555 685 695 814 822 834 1110 1221 1370 1390 1507 1529 2035 2055 2085 2442 3014 3058 4070 4110 4170 4521 4587 5069 5143 6105 7535 7645 9042 9174 10138 10286 12210 15070 15207 15290 15429 19043 22605 22935 25345 25715 30414 30858 38086 45210 45870 50690 51430 55759 56573 57129 76035 77145 95215 111518 113146 114258 152070 154290 167277 169719 190430 209473 278795 282865 285645 334554 339438 418946 557590 565730 571290 628419 704591 836385 848595 1047365 1256838 1409182 1672770 1697190 2094730 2113773 3142095 3522955 4227546 6284190 7045910 7750501 10568865 15501002 21137730 23251503 38752505 46503006 77505010 116257515 232515030