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105523220 = 225112272113
BaseRepresentation
bin1100100101000…
…10100000010100
321100120010122102
412102202200110
5204003220340
614245421232
72420634605
oct622424024
9240503572
10105523220
1154624180
122b40a818
1318b2879a
141002bdac
1593e6215
hex64a2814

105523220 has 48 divisors (see below), whose sum is σ = 242923968. Its totient is φ = 38184960.

The previous prime is 105523219. The next prime is 105523237. The reversal of 105523220 is 22325501.

It is a super-2 number, since 2×1055232202 = 22270299918336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105523192 and 105523201.

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, 48884 + ... + 50996.

It is an arithmetic number, because the mean of its divisors is an integer number (5060916).

Almost surely, 2105523220 is an apocalyptic number.

105523220 is a gapful number since it is divisible by the number (10) 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 105523220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121461984).

105523220 is an abundant number, since it is smaller than the sum of its proper divisors (137400748).

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

105523220 is a wasteful number, since it uses less digits than its factorization.

105523220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 105523220 is about 10272.4495618134. The cubic root of 105523220 is about 472.5517164822.

Adding to 105523220 its reverse (22325501), we get a palindrome (127848721).

It can be divided in two parts, 105 and 523220, that added together give a palindrome (523325).

The spelling of 105523220 in words is "one hundred five million, five hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 454 908 1135 2113 2270 2497 4226 4540 4994 8452 9988 10565 12485 21130 23243 24970 42260 46486 49940 92972 116215 232430 464860 479651 959302 1918604 2398255 4796510 5276161 9593020 10552322 21104644 26380805 52761610 105523220