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242022884256 = 25335918672543
BaseRepresentation
bin1110000101100110110…
…0000010001110100000
3212010200222202101112000
43201121230002032200
512431130324244011
6303103410204000
723325360400356
oct3413154021640
9763628671460
10242022884256
119370667710a
123aaa4b83600
1319a904cbc6a
14b9dd1c37d6
15646783e356
hex3859b023a0

242022884256 has 192 divisors, whose sum is σ = 718531430400. Its totient is φ = 79233285888.

The previous prime is 242022884251. The next prime is 242022884293. The reversal of 242022884256 is 652488220242.

It is not an unprimeable number, because it can be changed into a prime (242022884251) 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, 95170921 + ... + 95173463.

It is an arithmetic number, because the mean of its divisors is an integer number (3742351200).

Almost surely, 2242022884256 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 242022884256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359265715200).

242022884256 is an abundant number, since it is smaller than the sum of its proper divisors (476508546144).

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

242022884256 is a wasteful number, since it uses less digits than its factorization.

242022884256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 242022884256 in words is "two hundred forty-two billion, twenty-two million, eight hundred eighty-four thousand, two hundred fifty-six".