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230114040 = 233513178677
BaseRepresentation
bin11011011011101…
…00001011111000
3121001000000010020
431231310023320
5432402122130
634500050440
75462636262
oct1555641370
9531000106
10230114040
111089910a2
1265093a20
133889c170
14227c0b32
1515306e10
hexdb742f8

230114040 has 128 divisors (see below), whose sum is σ = 787268160. Its totient is φ = 53305344.

The previous prime is 230114033. The next prime is 230114069. The reversal of 230114040 is 40411032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22182 + ... + 30858.

Almost surely, 2230114040 is an apocalyptic number.

230114040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393634080).

230114040 is an abundant number, since it is smaller than the sum of its proper divisors (557154120).

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

230114040 is a wasteful number, since it uses less digits than its factorization.

230114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8721 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230114040 is about 15169.5102096277. The cubic root of 230114040 is about 612.7938137773.

Adding to 230114040 its reverse (40411032), we get a palindrome (270525072).

The spelling of 230114040 in words is "two hundred thirty million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8677 8840 13260 17354 26031 26520 34708 43385 52062 69416 86770 104124 112801 130155 147509 173540 208248 225602 260310 295018 338403 347080 442527 451204 520620 564005 590036 676806 737545 885054 902408 1041240 1128010 1180072 1353612 1475090 1692015 1770108 1917617 2212635 2256020 2707224 2950180 3384030 3540216 3835234 4425270 4512040 5752851 5900360 6768060 7670468 8850540 9588085 11505702 13536120 15340936 17701080 19176170 23011404 28764255 38352340 46022808 57528510 76704680 115057020 230114040