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230548368630 = 23537419495707
BaseRepresentation
bin1101011010110111000…
…0001110110011110110
3211001002022102121012210
43112231300032303312
512234130340244010
6253525031354250
722441126541136
oct3265560166366
9731068377183
10230548368630
11898585a8748
1238822222986
13189821a3048
14b2312b2ac6
155ee52bcb20
hex35adc0ecf6

230548368630 has 64 divisors (see below), whose sum is σ = 569627976960. Its totient is φ = 59675071104.

The previous prime is 230548368629. The next prime is 230548368637. The reversal of 230548368630 is 36863845032.

230548368630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230548368630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230548368637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217237 + ... + 712943.

It is an arithmetic number, because the mean of its divisors is an integer number (8900437140).

Almost surely, 2230548368630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230548368630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284813988480).

230548368630 is an abundant number, since it is smaller than the sum of its proper divisors (339079608330).

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

230548368630 is a wasteful number, since it uses less digits than its factorization.

230548368630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496173.

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 230548368630 in words is "two hundred thirty billion, five hundred forty-eight million, three hundred sixty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 419 555 838 1110 1257 2095 2514 4190 6285 12570 15503 31006 46509 77515 93018 155030 232545 465090 495707 991414 1487121 2478535 2974242 4957070 7435605 14871210 18341159 36682318 55023477 91705795 110046954 183411590 207701233 275117385 415402466 550234770 623103699 1038506165 1246207398 2077012330 3115518495 6231036990 7684945621 15369891242 23054836863 38424728105 46109673726 76849456210 115274184315 230548368630