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355226256 = 243371159181
BaseRepresentation
bin10101001011000…
…101001010010000
3220202102100211000
4111023011022100
51211414220011
655125422000
711542242030
oct2513051220
9822370730
10355226256
11172574820
129ab6a900
1358795c68
143526b8c0
15212bc356
hex152c5290

355226256 has 320 divisors, whose sum is σ = 1299916800. Its totient is φ = 90201600.

The previous prime is 355226243. The next prime is 355226279. The reversal of 355226256 is 652622553.

355226256 is a `hidden beast` number, since 3 + 5 + 5 + 22 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 355226256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962486 + ... + 1962666.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2355226256 is an apocalyptic number.

355226256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355226256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

355226256 is an abundant number, since it is smaller than the sum of its proper divisors (944690544).

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

355226256 is a wasteful number, since it uses less digits than its factorization.

355226256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 355226256 is about 18847.4469358584. The cubic root of 355226256 is about 708.2202704462.

The spelling of 355226256 in words is "three hundred fifty-five million, two hundred twenty-six thousand, two hundred fifty-six".