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105228012 = 223311911481
BaseRepresentation
bin1100100010110…
…10011011101100
321100000010200210
412101122123230
5203414244022
614235222420
72415265131
oct621323354
9240003623
10105228012
11544423aa
122b2a7a10
1318a542c6
14dd92588
159388a0c
hex645a6ec

105228012 has 48 divisors (see below), whose sum is σ = 254951424. Its totient is φ = 33744000.

The previous prime is 105228007. The next prime is 105228029. The reversal of 105228012 is 210822501.

It is a happy number.

It is a super-2 number, since 2×1052280122 = 22145869018944288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105228012.

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, 70312 + ... + 71792.

It is an arithmetic number, because the mean of its divisors is an integer number (5311488).

Almost surely, 2105228012 is an apocalyptic number.

105228012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105228012 is an abundant number, since it is smaller than the sum of its proper divisors (149723412).

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

105228012 is a wasteful number, since it uses less digits than its factorization.

105228012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 105228012 is about 10258.0705788174. The cubic root of 105228012 is about 472.1106402988.

The spelling of 105228012 in words is "one hundred five million, two hundred twenty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 191 372 382 573 764 1146 1481 2292 2962 4443 5921 5924 8886 11842 17763 17772 23684 35526 45911 71052 91822 137733 183644 275466 282871 550932 565742 848613 1131484 1697226 3394452 8769001 17538002 26307003 35076004 52614006 105228012