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230461500 = 22353153641
BaseRepresentation
bin11011011110010…
…01000000111100
3121001122122202010
431233021000330
5432444232000
634511331220
75465614263
oct1557110074
9531578663
10230461500
111090a9155
1265220b10
1338991369
14228715da
1515374d50
hexdbc903c

230461500 has 48 divisors (see below), whose sum is σ = 671108256. Its totient is φ = 61456000.

The previous prime is 230461499. The next prime is 230461529. The reversal of 230461500 is 5164032.

It is a happy number.

230461500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304615002 = 106225005964500000, which contains 22 as substring.

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, 75321 + ... + 78320.

It is an arithmetic number, because the mean of its divisors is an integer number (13981422).

Almost surely, 2230461500 is an apocalyptic number.

230461500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230461500 is an abundant number, since it is smaller than the sum of its proper divisors (440646756).

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

230461500 is a wasteful number, since it uses less digits than its factorization.

230461500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153663 (or 153651 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 230461500 is about 15180.9584677648. The cubic root of 230461500 is about 613.1020873934.

The spelling of 230461500 in words is "two hundred thirty million, four hundred sixty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 153641 307282 460923 614564 768205 921846 1536410 1843692 2304615 3072820 3841025 4609230 7682050 9218460 11523075 15364100 19205125 23046150 38410250 46092300 57615375 76820500 115230750 230461500