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230001320232 = 23342912239321
BaseRepresentation
bin1101011000110100100…
…1011010000100101000
3210222200012001122220000
43112031021122010220
512232020314221412
6253354450303000
722421434651635
oct3261511320450
9728605048800
10230001320232
11895a7827132
12386aab87a60
13188c5a57178
14b1bc79118c
155eb225e4dc
hex358d25a128

230001320232 has 80 divisors (see below), whose sum is σ = 666431082900. Its totient is φ = 74023407360.

The previous prime is 230001320183. The next prime is 230001320251. The reversal of 230001320232 is 232023100032.

It is a happy number.

230001320232 is a `hidden beast` number, since 2 + 300 + 0 + 132 + 0 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219411675396 + 10589644836 = 468414^2 + 102906^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6100869 + ... + 6138452.

Almost surely, 2230001320232 is an apocalyptic number.

It is an amenable number.

230001320232 is an abundant number, since it is smaller than the sum of its proper divisors (436429762668).

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

230001320232 is a wasteful number, since it uses less digits than its factorization.

230001320232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12239368 (or 12239355 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230001320232 its reverse (232023100032), we get a palindrome (462024420264).

The spelling of 230001320232 in words is "two hundred thirty billion, one million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 18792 12239321 24478642 36717963 48957284 73435926 97914568 110153889 146871852 220307778 293743704 330461667 354940309 440615556 660923334 709880618 881231112 991385001 1064820927 1321846668 1419761236 1982770002 2129641854 2643693336 2839522472 3194462781 3965540004 4259283708 6388925562 7931080008 8518567416 9583388343 12777851124 19166776686 25555702248 28750165029 38333553372 57500330058 76667106744 115000660116 230001320232