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220426556 = 22717571811
BaseRepresentation
bin11010010001101…
…11000100111100
3120100202211101112
431020313010330
5422412122211
633512301152
75314411010
oct1510670474
9510684345
10220426556
11103474809
12619a17b8
133688991c
14213bc540
151454188b
hexd23713c

220426556 has 48 divisors (see below), whose sum is σ = 468179712. Its totient is φ = 88646400.

The previous prime is 220426517. The next prime is 220426571. The reversal of 220426556 is 655624022.

220426556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2204265562 = 97175733180042272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271391 + ... + 272201.

It is an arithmetic number, because the mean of its divisors is an integer number (9753744).

Almost surely, 2220426556 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 220426556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234089856).

220426556 is an abundant number, since it is smaller than the sum of its proper divisors (247753156).

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

220426556 is a wasteful number, since it uses less digits than its factorization.

220426556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 220426556 is about 14846.7692108418. The cubic root of 220426556 is about 604.0709790422.

The spelling of 220426556 in words is "two hundred twenty million, four hundred twenty-six thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 571 811 1142 1622 2284 3244 3997 5677 7994 9707 11354 13787 15988 19414 22708 27574 38828 55148 67949 96509 135898 193018 271796 386036 463081 926162 1852324 3241567 6483134 7872377 12966268 15744754 31489508 55106639 110213278 220426556