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220550022 = 232711227701
BaseRepresentation
bin11010010010101…
…01001110000110
3120101000002202100
431021111032012
5422430100042
633515052530
75315433660
oct1511251606
9511002670
10220550022
11103549550
1261a41146
1336900b94
1421411530
151456824c
hexd255386

220550022 has 96 divisors (see below), whose sum is σ = 599249664. Its totient is φ = 56952000.

The previous prime is 220550021. The next prime is 220550039. The reversal of 220550022 is 220055022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220549977 and 220550004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220550021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314272 + ... + 314972.

It is an arithmetic number, because the mean of its divisors is an integer number (6242184).

Almost surely, 2220550022 is an apocalyptic number.

220550022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220550022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299624832).

220550022 is an abundant number, since it is smaller than the sum of its proper divisors (378699642).

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

220550022 is a wasteful number, since it uses less digits than its factorization.

220550022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 220550022 is about 14850.9266377556. The cubic root of 220550022 is about 604.1837426887.

The spelling of 220550022 in words is "two hundred twenty million, five hundred fifty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 227 231 454 462 681 693 701 1362 1386 1402 1589 2043 2103 2497 3178 4086 4206 4767 4907 4994 6309 7491 7711 9534 9814 12618 14301 14721 14982 15422 17479 22473 23133 28602 29442 34958 44163 44946 46266 52437 53977 69399 88326 104874 107954 138798 157311 159127 161931 314622 318254 323862 477381 485793 954762 971586 1113889 1432143 1750397 2227778 2864286 3341667 3500794 5251191 6683334 10025001 10502382 12252779 15753573 20050002 24505558 31507146 36758337 73516674 110275011 220550022