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256022430 = 23523438629
BaseRepresentation
bin11110100001010…
…01011110011110
3122211202021202020
433100221132132
51011020204210
641223241010
76226104036
oct1720513636
9584667666
10256022430
11121577494
12718a9166
1341070981
14260068c6
1517723770
hexf42979e

256022430 has 64 divisors (see below), whose sum is σ = 656156160. Its totient is φ = 63778176.

The previous prime is 256022423. The next prime is 256022441. The reversal of 256022430 is 34220652.

It is a self number, because there is not a number n which added to its sum of digits gives 256022430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25356 + ... + 33984.

It is an arithmetic number, because the mean of its divisors is an integer number (10252440).

Almost surely, 2256022430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256022430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328078080).

256022430 is an abundant number, since it is smaller than the sum of its proper divisors (400133730).

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

256022430 is a wasteful number, since it uses less digits than its factorization.

256022430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 256022430 is about 16000.7009221471. The cubic root of 256022430 is about 634.9789647278.

The spelling of 256022430 in words is "two hundred fifty-six million, twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 43 46 69 86 115 129 138 215 230 258 345 430 645 690 989 1290 1978 2967 4945 5934 8629 9890 14835 17258 25887 29670 43145 51774 86290 129435 198467 258870 371047 396934 595401 742094 992335 1113141 1190802 1855235 1984670 2226282 2977005 3710470 5565705 5954010 8534081 11131410 17068162 25602243 42670405 51204486 85340810 128011215 256022430