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230154100 = 225211223827
BaseRepresentation
bin11011011011111…
…01111101110100
3121001002001001221
431231331331310
5432404412400
634501000124
75463164131
oct1555757564
9531061057
10230154100
11108a09200
12650b3044
13388b4477
14227d1588
1515313c1a
hexdb7df74

230154100 has 108 divisors (see below), whose sum is σ = 573525792. Its totient is φ = 79956800.

The previous prime is 230154073. The next prime is 230154101. The reversal of 230154100 is 1451032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230154101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 277887 + ... + 278713.

It is an arithmetic number, because the mean of its divisors is an integer number (5310424).

Almost surely, 2230154100 is an apocalyptic number.

230154100 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 230154100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286762896).

230154100 is an abundant number, since it is smaller than the sum of its proper divisors (343371692).

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

230154100 is a wasteful number, since it uses less digits than its factorization.

230154100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 230154100 is about 15170.8305639474. The cubic root of 230154100 is about 612.8293716479.

The spelling of 230154100 in words is "two hundred thirty million, one hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 121 220 230 242 253 275 460 484 506 550 575 605 827 1012 1100 1150 1210 1265 1654 2300 2420 2530 2783 3025 3308 4135 5060 5566 6050 6325 8270 9097 11132 12100 12650 13915 16540 18194 19021 20675 25300 27830 36388 38042 41350 45485 55660 69575 76084 82700 90970 95105 100067 139150 181940 190210 200134 209231 227425 278300 380420 400268 418462 454850 475525 500335 836924 909700 951050 1000670 1046155 1902100 2001340 2092310 2301541 2501675 4184620 4603082 5003350 5230775 9206164 10006700 10461550 11507705 20923100 23015410 46030820 57538525 115077050 230154100