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105452220 = 22353747501
BaseRepresentation
bin1100100100100…
…01001010111100
321100102112020210
412102101022330
5203443432340
614244112420
72420220606
oct622211274
9240375223
10105452220
11545858a5
122b395710
1318b02383
1410010176
1593d0180
hex64912bc

105452220 has 48 divisors (see below), whose sum is σ = 303252768. Its totient is φ = 27360000.

The previous prime is 105452213. The next prime is 105452231. The reversal of 105452220 is 22254501.

It is a happy number.

It is a super-2 number, since 2×1054522202 = 22240341405856800, 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, 21531 + ... + 25970.

It is an arithmetic number, because the mean of its divisors is an integer number (6317766).

Almost surely, 2105452220 is an apocalyptic number.

105452220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105452220 is an abundant number, since it is smaller than the sum of its proper divisors (197800548).

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

105452220 is a wasteful number, since it uses less digits than its factorization.

105452220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47550 (or 47548 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 105452220 is about 10268.9931346749. The cubic root of 105452220 is about 472.4457091677.

The spelling of 105452220 in words is "one hundred five million, four hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 47501 95002 142503 190004 237505 285006 475010 570012 712515 950020 1425030 1757537 2850060 3515074 5272611 7030148 8787685 10545222 17575370 21090444 26363055 35150740 52726110 105452220