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230271552 = 2633719037
BaseRepresentation
bin11011011100110…
…10101001000000
3121001022000012000
431232122221000
5432422142202
634503304000
75464163430
oct1556325100
9531260160
10230271552
11108a89475
126514b000
1338925a74
14228222c0
151533891c
hexdb9aa40

230271552 has 112 divisors (see below), whose sum is σ = 773704320. Its totient is φ = 65788416.

The previous prime is 230271551. The next prime is 230271577. The reversal of 230271552 is 255172032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230271551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2578 + ... + 21614.

Almost surely, 2230271552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230271552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386852160).

230271552 is an abundant number, since it is smaller than the sum of its proper divisors (543432768).

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

230271552 is a wasteful number, since it uses less digits than its factorization.

230271552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19065 (or 19049 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 230271552 is about 15174.7010514211. The cubic root of 230271552 is about 612.9336000683.

The spelling of 230271552 in words is "two hundred thirty million, two hundred seventy-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 19037 38074 57111 76148 114222 133259 152296 171333 228444 266518 304592 342666 399777 456888 513999 533036 609184 685332 799554 913776 1027998 1066072 1199331 1218368 1370664 1599108 1827552 2055996 2132144 2398662 2741328 3198216 3597993 3655104 4111992 4264288 4797324 5482656 6396432 7195986 8223984 8528576 9594648 10965312 12792864 14391972 16447968 19189296 25585728 28783944 32895936 38378592 57567888 76757184 115135776 230271552