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107223368 = 23725232
BaseRepresentation
bin1100110010000…
…01100101001000
321110202111210212
412121001211020
5204422121433
614350100252
72441245400
oct631014510
9243674725
10107223368
115558555a
122baaa688
13192a25a5
1410351800
15962ed48
hex6641948

107223368 has 36 divisors (see below), whose sum is σ = 234315315. Its totient is φ = 45865008.

The previous prime is 107223367. The next prime is 107223371. The reversal of 107223368 is 863322701.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 53611684 + 53611684 = 7322^2 + 7322^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7322.

It is a super-2 number, since 2×1072233682 = 22993701290526848, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107223367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 204755 + ... + 205277.

Almost surely, 2107223368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107223368

107223368 is an abundant number, since it is smaller than the sum of its proper divisors (127091947).

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

107223368 is an frugal number, since it uses more digits than its factorization.

107223368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 107223368 is about 10354.8717036958. The cubic root of 107223368 is about 475.0760624269.

Multiplying 107223368 by its sum of digits (32), we get a square (3431147776 = 585762).

The spelling of 107223368 in words is "one hundred seven million, two hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 523 1046 2092 3661 4184 7322 14644 25627 29288 51254 102508 205016 273529 547058 1094116 1914703 2188232 3829406 7658812 13402921 15317624 26805842 53611684 107223368