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230342314200 = 23352537243469
BaseRepresentation
bin1101011010000101111…
…0001100100011011000
3211000112221200221200020
43112201132030203120
512233220113023300
6253452351110440
722433045236305
oct3264136144330
9730487627606
10230342314200
118976225aa29
1238785212420
131894b5a904b
14b211b960ac
155ed21698a0
hex35a178c8d8

230342314200 has 96 divisors (see below), whose sum is σ = 727534126800. Its totient is φ = 60265653760.

The previous prime is 230342314183. The next prime is 230342314207. The reversal of 230342314200 is 2413243032.

It is a super-2 number, since 2×2303423142002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230342314207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3589935 + ... + 3653534.

Almost surely, 2230342314200 is an apocalyptic number.

230342314200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230342314200 is an abundant number, since it is smaller than the sum of its proper divisors (497191812600).

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

230342314200 is a wasteful number, since it uses less digits than its factorization.

230342314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243541 (or 7243532 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230342314200 its reverse (2413243032), we get a palindrome (232755557232).

The spelling of 230342314200 in words is "two hundred thirty billion, three hundred forty-two million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 424 530 600 636 795 1060 1272 1325 1590 2120 2650 3180 3975 5300 6360 7950 10600 15900 31800 7243469 14486938 21730407 28973876 36217345 43460814 57947752 72434690 86921628 108652035 144869380 173843256 181086725 217304070 289738760 362173450 383903857 434608140 543260175 724346900 767807714 869216280 1086520350 1151711571 1448693800 1535615428 1919519285 2173040700 2303423142 3071230856 3839038570 4346081400 4606846284 5758557855 7678077140 9213692568 9597596425 11517115710 15356154280 19195192850 23034231420 28792789275 38390385700 46068462840 57585578550 76780771400 115171157100 230342314200