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230021280 = 25325159737
BaseRepresentation
bin11011011010111…
…01100010100000
3121000211021212200
431231131202200
5432341140110
634454053200
75462101656
oct1555354240
9530737780
10230021280
11108928435
126504a200
1338868b88
1422798dd6
15152d96c0
hexdb5d8a0

230021280 has 72 divisors (see below), whose sum is σ = 784952532. Its totient is φ = 61338624.

The previous prime is 230021279. The next prime is 230021293. The reversal of 230021280 is 82120032.

It is a happy number.

230021280 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 213276816 + 16744464 = 14604^2 + 4092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 78429 + ... + 81308.

Almost surely, 2230021280 is an apocalyptic number.

230021280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230021280 is an abundant number, since it is smaller than the sum of its proper divisors (554931252).

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

230021280 is a wasteful number, since it uses less digits than its factorization.

230021280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159758 (or 159747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 230021280 is about 15166.4524526997. The cubic root of 230021280 is about 612.7114627341.

The spelling of 230021280 in words is "two hundred thirty million, twenty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 159737 319474 479211 638948 798685 958422 1277896 1437633 1597370 1916844 2396055 2555792 2875266 3194740 3833688 4792110 5111584 5750532 6389480 7188165 7667376 9584220 11501064 12778960 14376330 15334752 19168440 23002128 25557920 28752660 38336880 46004256 57505320 76673760 115010640 230021280