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230430442220 = 225112463205657
BaseRepresentation
bin1101011010011010111…
…0011000001011101100
3211000210002112022120222
43112212232120023230
512233410143122340
6253505220030512
722435165304306
oct3264656301354
9730702468528
10230430442220
11897a7a82900
12387aa832438
1318963923bc4
14b21d776976
155ed9c768b5
hex35a6b982ec

230430442220 has 72 divisors (see below), whose sum is σ = 533045792832. Its totient is φ = 83611503360.

The previous prime is 230430442159. The next prime is 230430442223. The reversal of 230430442220 is 22244034032.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 230430442220.

It is not an unprimeable number, because it can be changed into a prime (230430442223) 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, 1017632 + ... + 1223288.

Almost surely, 2230430442220 is an apocalyptic number.

230430442220 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 230430442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266522896416).

230430442220 is an abundant number, since it is smaller than the sum of its proper divisors (302615350612).

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

230430442220 is a wasteful number, since it uses less digits than its factorization.

230430442220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206151 (or 206138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 230430442220 its reverse (22244034032), we get a palindrome (252674476252).

The spelling of 230430442220 in words is "two hundred thirty billion, four hundred thirty million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 463 484 605 926 1210 1852 2315 2420 4630 5093 9260 10186 20372 25465 50930 56023 101860 112046 205657 224092 280115 411314 560230 822628 1028285 1120460 2056570 2262227 4113140 4524454 9048908 11311135 22622270 24884497 45244540 49768994 95219191 99537988 124422485 190438382 248844970 380876764 476095955 497689940 952191910 1047411101 1904383820 2094822202 4189644404 5237055505 10474111010 11521522111 20948222020 23043044222 46086088444 57607610555 115215221110 230430442220