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242322122430 = 232517315563399
BaseRepresentation
bin1110000110101110000…
…1100010011010111110
3212011110211211021010100
43201223201202122332
512432233430404210
6303153220021530
723335653025023
oct3415341423276
9764424737110
10242322122430
119384a580193
123ab692318a6
1319b0a4c107b
14ba2ac3954a
156483c4c5c0
hex386b8626be

242322122430 has 48 divisors (see below), whose sum is σ = 633679394400. Its totient is φ = 64245706944.

The previous prime is 242322122411. The next prime is 242322122473. The reversal of 242322122430 is 34221223242.

242322122430 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 221 + 2 + 2 + 430 = 666.

It is a super-2 number, since 2×2423221224302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242322122394 and 242322122403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7766130 + ... + 7797269.

It is an arithmetic number, because the mean of its divisors is an integer number (13201654050).

Almost surely, 2242322122430 is an apocalyptic number.

242322122430 is an abundant number, since it is smaller than the sum of its proper divisors (391357271970).

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

242322122430 is a wasteful number, since it uses less digits than its factorization.

242322122430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15563585 (or 15563582 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242322122430 its reverse (34221223242), we get a palindrome (276543345672).

The spelling of 242322122430 in words is "two hundred forty-two billion, three hundred twenty-two million, one hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2595 3114 5190 7785 15570 15563399 31126798 46690197 77816995 93380394 140070591 155633990 233450985 280141182 466901970 700352955 1400705910 2692468027 5384936054 8077404081 13462340135 16154808162 24232212243 26924680270 40387020405 48464424486 80774040810 121161061215 242322122430