Search a number
-
+
230090952 = 233713137769
BaseRepresentation
bin11011011011011…
…10100011001000
3121000221211110010
431231232203020
5432400402302
634455351520
75462512050
oct1555564310
9530854403
10230090952
11108975813
12650825a0
13388917c0
14227b6560
151530016c
hexdb6e8c8

230090952 has 128 divisors (see below), whose sum is σ = 714067200. Its totient is φ = 60162048.

The previous prime is 230090941. The next prime is 230090953. The reversal of 230090952 is 259090032.

It is not an unprimeable number, because it can be changed into a prime (230090953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298824 + ... + 299592.

It is an arithmetic number, because the mean of its divisors is an integer number (5578650).

Almost surely, 2230090952 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 230090952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357033600).

230090952 is an abundant number, since it is smaller than the sum of its proper divisors (483976248).

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

230090952 is a wasteful number, since it uses less digits than its factorization.

230090952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 230090952 is about 15168.7491903584. The cubic root of 230090952 is about 612.7733186396.

The spelling of 230090952 in words is "two hundred thirty million, ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 137 156 168 182 273 274 312 364 411 546 548 728 769 822 959 1092 1096 1538 1644 1781 1918 2184 2307 2877 3076 3288 3562 3836 4614 5343 5383 5754 6152 7124 7672 9228 9997 10686 10766 11508 12467 14248 16149 18456 19994 21372 21532 23016 24934 29991 32298 37401 39988 42744 43064 49868 59982 64596 69979 74802 79976 99736 105353 119964 129192 139958 149604 209937 210706 239928 279916 299208 316059 419874 421412 559832 632118 737471 839748 842824 1264236 1369589 1474942 1679496 2212413 2528472 2739178 2949884 4108767 4424826 5478356 5899768 8217534 8849652 9587123 10956712 16435068 17699304 19174246 28761369 32870136 38348492 57522738 76696984 115045476 230090952