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242233362 = 23372432129
BaseRepresentation
bin11100111000000…
…11000000010010
3121212210201201000
432130003000102
5444002431422
640011522430
76000643500
oct1634030022
9555721630
10242233362
11114809568
1269159416
133b253567
1424257670
15163eccac
hexe703012

242233362 has 96 divisors (see below), whose sum is σ = 641044800. Its totient is φ = 67568256.

The previous prime is 242233301. The next prime is 242233363. The reversal of 242233362 is 263332242.

242233362 is digitally balanced in base 3, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (242233363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112714 + ... + 114842.

It is an arithmetic number, because the mean of its divisors is an integer number (6677550).

Almost surely, 2242233362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242233362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320522400).

242233362 is an abundant number, since it is smaller than the sum of its proper divisors (398811438).

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

242233362 is a wasteful number, since it uses less digits than its factorization.

242233362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2184 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 242233362 is about 15563.8479175299. The cubic root of 242233362 is about 623.3682122444.

The spelling of 242233362 in words is "two hundred forty-two million, two hundred thirty-three thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 49 54 63 86 98 126 129 147 189 258 294 301 378 387 441 602 774 882 903 1161 1323 1806 2107 2129 2322 2646 2709 4214 4258 5418 6321 6387 8127 12642 12774 14903 16254 18963 19161 29806 37926 38322 44709 56889 57483 89418 91547 104321 113778 114966 134127 183094 208642 268254 274641 312963 402381 549282 625926 640829 804762 823923 938889 1281658 1647846 1877778 1922487 2471769 2816667 3844974 4485803 4943538 5633334 5767461 8971606 11534922 13457409 17302383 26914818 34604766 40372227 80744454 121116681 242233362