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230882148 = 223271948221
BaseRepresentation
bin11011100001011…
…11101101100100
3121002110000202200
431300233231210
5433101212043
634524334500
75502315540
oct1560575544
9532400680
10230882148
111093661a2
12653a4430
1338aaa973
1422940a20
15154097d3
hexdc2fb64

230882148 has 72 divisors (see below), whose sum is σ = 702112320. Its totient is φ = 62493120.

The previous prime is 230882147. The next prime is 230882149. The reversal of 230882148 is 841288032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230882147) and next prime (230882149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230882143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19323 + ... + 28898.

It is an arithmetic number, because the mean of its divisors is an integer number (9751560).

Almost surely, 2230882148 is an apocalyptic number.

230882148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230882148 is an abundant number, since it is smaller than the sum of its proper divisors (471230172).

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

230882148 is a wasteful number, since it uses less digits than its factorization.

230882148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48257 (or 48252 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 230882148 is about 15194.8066127871. The cubic root of 230882148 is about 613.4748805580.

The spelling of 230882148 in words is "two hundred thirty million, eight hundred eighty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 48221 96442 144663 192884 289326 337547 433989 578652 675094 867978 916199 1012641 1350188 1735956 1832398 2025282 2748597 3037923 3664796 4050564 5497194 6075846 6413393 8245791 10994388 12151692 12826786 16491582 19240179 25653572 32983164 38480358 57720537 76960716 115441074 230882148