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220605056 = 2772172069
BaseRepresentation
bin11010010011000…
…10101010000000
3120101002220020122
431021202222000
5422433330211
633520155412
75316053300
oct1511425200
9511086218
10220605056
11103586931
1261a68b68
133691cc49
1421427600
15145796db
hexd262a80

220605056 has 96 divisors (see below), whose sum is σ = 541574100. Its totient is φ = 88940544.

The previous prime is 220605053. The next prime is 220605103. The reversal of 220605056 is 650506022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 220225600 + 379456 = 14840^2 + 616^2 .

It is not an unprimeable number, because it can be changed into a prime (220605053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105590 + ... + 107658.

Almost surely, 2220605056 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 220605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270787050).

220605056 is an abundant number, since it is smaller than the sum of its proper divisors (320969044).

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

220605056 is a wasteful number, since it uses less digits than its factorization.

220605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 220605056 is about 14852.7794031959. The cubic root of 220605056 is about 604.2339926388.

The spelling of 220605056 in words is "two hundred twenty million, six hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 272 392 448 476 544 784 833 896 952 1088 1568 1666 1904 2069 2176 3136 3332 3808 4138 6272 6664 7616 8276 13328 14483 15232 16552 26656 28966 33104 35173 53312 57932 66208 70346 101381 106624 115864 132416 140692 202762 231728 246211 264832 281384 405524 463456 492422 562768 811048 926912 984844 1125536 1622096 1723477 1853824 1969688 2251072 3244192 3446954 3939376 4502144 6488384 6893908 7878752 12976768 13787816 15757504 27575632 31515008 55151264 110302528 220605056