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230120000 = 265411523
BaseRepresentation
bin11011011011101…
…01101001000000
3121001000022021222
431231311221000
5432402320000
634500134212
75462662535
oct1555655100
9531008258
10230120000
11108995620
1265097368
13388a1aa6
14227c2d8c
1515308a85
hexdb75a40

230120000 has 140 divisors (see below), whose sum is σ = 623687856. Its totient is φ = 83520000.

The previous prime is 230119997. The next prime is 230120027. The reversal of 230120000 is 21032.

230120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 230120000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439739 + ... + 440261.

Almost surely, 2230120000 is an apocalyptic number.

230120000 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 230120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311843928).

230120000 is an abundant number, since it is smaller than the sum of its proper divisors (393567856).

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

230120000 is an equidigital number, since it uses as much as digits as its factorization.

230120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 230120000 is about 15169.7066550412. The cubic root of 230120000 is about 612.7991042260.

Adding to 230120000 its reverse (21032), we get a palindrome (230141032).

The spelling of 230120000 in words is "two hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 523 550 625 704 800 880 1000 1046 1100 1250 1375 1600 1760 2000 2092 2200 2500 2615 2750 3520 4000 4184 4400 5000 5230 5500 5753 6875 8000 8368 8800 10000 10460 11000 11506 13075 13750 16736 17600 20000 20920 22000 23012 26150 27500 28765 33472 40000 41840 44000 46024 52300 55000 57530 65375 83680 88000 92048 104600 110000 115060 130750 143825 167360 184096 209200 220000 230120 261500 287650 326875 368192 418400 440000 460240 523000 575300 653750 719125 836800 920480 1046000 1150600 1307500 1438250 1840960 2092000 2301200 2615000 2876500 3595625 4184000 4602400 5230000 5753000 7191250 9204800 10460000 11506000 14382500 20920000 23012000 28765000 46024000 57530000 115060000 230120000