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220354056 = 233213397593
BaseRepresentation
bin11010010001001…
…01011000001000
3120100122010221100
431020211120020
5422402312211
633510541400
75313656436
oct1510453010
9510563840
10220354056
1110342529a
1261967860
1336862920
142139dd56
151452a156
hexd225608

220354056 has 96 divisors (see below), whose sum is σ = 645404760. Its totient is φ = 67516416.

The previous prime is 220354037. The next prime is 220354061. The reversal of 220354056 is 650453022.

220354056 is a `hidden beast` number, since 220 + 35 + 405 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 179828100 + 40525956 = 13410^2 + 6366^2 .

It is a super-2 number, since 2×2203540562 = 97111819991302272, which contains 22 as substring.

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, 371296 + ... + 371888.

Almost surely, 2220354056 is an apocalyptic number.

220354056 is a gapful number since it is divisible by the number (26) 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 220354056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322702380).

220354056 is an abundant number, since it is smaller than the sum of its proper divisors (425050704).

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

220354056 is a wasteful number, since it uses less digits than its factorization.

220354056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1008 counting only the distinct ones).

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

The square root of 220354056 is about 14844.3274014015. The cubic root of 220354056 is about 604.0047439067.

The spelling of 220354056 in words is "two hundred twenty million, three hundred fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 397 468 593 794 936 1186 1191 1588 1779 2372 2382 3176 3558 3573 4744 4764 5161 5337 7116 7146 7709 9528 10322 10674 14232 14292 15418 15483 20644 21348 23127 28584 30836 30966 41288 42696 46254 46449 61672 61932 69381 92508 92898 123864 138762 185016 185796 235421 277524 371592 470842 555048 706263 941684 1412526 1883368 2118789 2825052 3060473 4237578 5650104 6120946 8475156 9181419 12241892 16950312 18362838 24483784 27544257 36725676 55088514 73451352 110177028 220354056