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107093224 = 23722291193
BaseRepresentation
bin1100110001000…
…01110011101000
321110111220021201
412120201303220
5204403440344
614343213544
72440164100
oct630416350
9243456251
10107093224
11554a67a7
122ba472b4
1319258294
141031a200
1596064d4
hex6621ce8

107093224 has 48 divisors (see below), whose sum is σ = 234800100. Its totient is φ = 45658368.

The previous prime is 107093209. The next prime is 107093249. The reversal of 107093224 is 422390701.

It can be written as a sum of positive squares in 2 ways, for example, as 99640324 + 7452900 = 9982^2 + 2730^2 .

It is a super-2 number, since 2×1070932242 = 22937917253428352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 107093192 and 107093201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89172 + ... + 90364.

Almost surely, 2107093224 is an apocalyptic number.

107093224 is a gapful number since it is divisible by the number (14) 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 107093224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117400050).

107093224 is an abundant number, since it is smaller than the sum of its proper divisors (127706876).

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

107093224 is a wasteful number, since it uses less digits than its factorization.

107093224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 107093224 is about 10348.5856038398. The cubic root of 107093224 is about 474.8837743337.

The spelling of 107093224 in words is "one hundred seven million, ninety-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 229 392 458 916 1193 1603 1832 2386 3206 4772 6412 8351 9544 11221 12824 16702 22442 33404 44884 58457 66808 89768 116914 233828 273197 467656 546394 1092788 1912379 2185576 3824758 7649516 13386653 15299032 26773306 53546612 107093224