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230761300 = 2252711231303
BaseRepresentation
bin11011100000100…
…10001101010100
3121002012212222211
431300102031110
5433033330200
634522003204
75501303320
oct1560221524
9532185884
10230761300
11109293420
1265346504
1338a67963
142290c980
15153d3aba
hexdc12354

230761300 has 144 divisors (see below), whose sum is σ = 651958272. Its totient is φ = 68745600.

The previous prime is 230761283. The next prime is 230761301. The reversal of 230761300 is 3167032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230761301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176449 + ... + 177751.

It is an arithmetic number, because the mean of its divisors is an integer number (4527488).

Almost surely, 2230761300 is an apocalyptic number.

230761300 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 230761300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325979136).

230761300 is an abundant number, since it is smaller than the sum of its proper divisors (421196972).

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

230761300 is a wasteful number, since it uses less digits than its factorization.

230761300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 230761300 is about 15190.8294704404. The cubic root of 230761300 is about 613.3678271663.

The spelling of 230761300 in words is "two hundred thirty million, seven hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 25 28 35 44 46 50 55 70 77 92 100 110 115 140 154 161 175 220 230 253 275 308 322 350 385 460 506 550 575 644 700 770 805 1012 1100 1150 1265 1303 1540 1610 1771 1925 2300 2530 2606 3220 3542 3850 4025 5060 5212 6325 6515 7084 7700 8050 8855 9121 12650 13030 14333 16100 17710 18242 25300 26060 28666 29969 32575 35420 36484 44275 45605 57332 59938 65150 71665 88550 91210 100331 119876 130300 143330 149845 177100 182420 200662 209783 228025 286660 299690 329659 358325 401324 419566 456050 501655 599380 659318 716650 749225 839132 912100 1003310 1048915 1318636 1433300 1498450 1648295 2006620 2097830 2307613 2508275 2996900 3296590 4195660 4615226 5016550 5244575 6593180 8241475 9230452 10033100 10489150 11538065 16482950 20978300 23076130 32965900 46152260 57690325 115380650 230761300