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230674700 = 225217294679
BaseRepresentation
bin11011011111111…
…01000100001100
3121002001111012102
431233331010030
5433023042300
634520054232
75500462664
oct1557750414
9532044172
10230674700
11109234353
1265304378
1338a37409
14228c91a4
15153b80d5
hexdbfd10c

230674700 has 72 divisors (see below), whose sum is σ = 548402400. Its totient is φ = 83829760.

The previous prime is 230674699. The next prime is 230674721. The reversal of 230674700 is 7476032.

230674700 = T129 + T130 + ... + T1114.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46961 + ... + 51639.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2230674700 is an apocalyptic number.

230674700 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 230674700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

230674700 is an abundant number, since it is smaller than the sum of its proper divisors (317727700).

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

230674700 is a wasteful number, since it uses less digits than its factorization.

230674700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 230674700 is about 15187.9787990371. The cubic root of 230674700 is about 613.2910894293.

The spelling of 230674700 in words is "two hundred thirty million, six hundred seventy-four thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4679 4930 9358 9860 12325 18716 23395 24650 46790 49300 79543 93580 116975 135691 159086 233950 271382 318172 397715 467900 542764 678455 795430 1356910 1590860 1988575 2306747 2713820 3392275 3977150 4613494 6784550 7954300 9226988 11533735 13569100 23067470 46134940 57668675 115337350 230674700