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220690932 = 223711221713
BaseRepresentation
bin11010010011101…
…11100111110100
3120101021021001020
431021313213310
5422444102212
633522101140
75316561540
oct1511674764
9511237036
10220690932
11103635400
1261aaa7b0
1336950067
142144aa20
1514594d8c
hexd2779f4

220690932 has 72 divisors (see below), whose sum is σ = 646903488. Its totient is φ = 57319680.

The previous prime is 220690931. The next prime is 220690949. The reversal of 220690932 is 239096022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 220690893 and 220690902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220690931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693 + ... + 21020.

Almost surely, 2220690932 is an apocalyptic number.

220690932 is a gapful number since it is divisible by the number (22) 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 220690932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323451744).

220690932 is an abundant number, since it is smaller than the sum of its proper divisors (426212556).

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

220690932 is a wasteful number, since it uses less digits than its factorization.

220690932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21749 (or 21736 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 220690932 is about 14855.6700286456. The cubic root of 220690932 is about 604.3123868329.

The spelling of 220690932 in words is "two hundred twenty million, six hundred ninety thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 21713 43426 65139 86852 130278 151991 238843 260556 303982 455973 477686 607964 716529 911946 955372 1433058 1671901 1823892 2627273 2866116 3343802 5015703 5254546 6687604 7881819 10031406 10509092 15763638 18390911 20062812 31527276 36781822 55172733 73563644 110345466 220690932