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220253256 = 2335137827
BaseRepresentation
bin11010010000011…
…00110001001000
3120100110000200000
431020030301020
5422341101011
633504443000
75313056526
oct1510146110
9510400600
10220253256
11103366593
1261919460
1336828a92
1421375316
151450a356
hexd20cc48

220253256 has 96 divisors (see below), whose sum is σ = 623881440. Its totient is φ = 72793728.

The previous prime is 220253239. The next prime is 220253279. The reversal of 220253256 is 652352022.

It is a super-2 number, since 2×2202532562 = 97022993557203072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265915 + ... + 266741.

It is an arithmetic number, because the mean of its divisors is an integer number (6498765).

Almost surely, 2220253256 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 220253256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311940720).

220253256 is an abundant number, since it is smaller than the sum of its proper divisors (403628184).

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

220253256 is a wasteful number, since it uses less digits than its factorization.

220253256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 220253256 is about 14840.9317766776. The cubic root of 220253256 is about 603.9126300827.

It can be divided in two parts, 22025 and 3256, that added together give a square (25281 = 1592).

The spelling of 220253256 in words is "two hundred twenty million, two hundred fifty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 137 162 216 243 274 324 411 486 548 648 822 827 972 1096 1233 1644 1654 1944 2466 2481 3288 3308 3699 4932 4962 6616 7398 7443 9864 9924 11097 14796 14886 19848 22194 22329 29592 29772 33291 44388 44658 59544 66582 66987 88776 89316 113299 133164 133974 178632 200961 226598 266328 267948 339897 401922 453196 535896 679794 803844 906392 1019691 1359588 1607688 2039382 2719176 3059073 4078764 6118146 8157528 9177219 12236292 18354438 24472584 27531657 36708876 55063314 73417752 110126628 220253256