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242222464 = 2711712423
BaseRepresentation
bin11100111000000…
…00010110000000
3121212210011202101
432130000112000
5444002104324
640011400144
76000566641
oct1634002600
9555704671
10242222464
11114801360
1269153054
133b24b603
14242536c8
15163e9944
hexe700580

242222464 has 64 divisors (see below), whose sum is σ = 534055680. Its totient is φ = 108505600.

The previous prime is 242222441. The next prime is 242222467. The reversal of 242222464 is 464222242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242222467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98757 + ... + 101179.

It is an arithmetic number, because the mean of its divisors is an integer number (8344620).

Almost surely, 2242222464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267027840).

242222464 is an abundant number, since it is smaller than the sum of its proper divisors (291833216).

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

242222464 is a wasteful number, since it uses less digits than its factorization.

242222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2507 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 242222464 is about 15563.4978073697. The cubic root of 242222464 is about 623.3588637266.

The spelling of 242222464 in words is "two hundred forty-two million, two hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 284 352 568 704 781 1136 1408 1562 2272 2423 3124 4544 4846 6248 9088 9692 12496 19384 24992 26653 38768 49984 53306 77536 99968 106612 155072 172033 213224 310144 344066 426448 688132 852896 1376264 1705792 1892363 2752528 3411584 3784726 5505056 7569452 11010112 15138904 22020224 30277808 60555616 121111232 242222464