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107224950 = 23527176007
BaseRepresentation
bin1100110010000…
…01111101110110
321110202120222110
412121001331312
5204422144300
614350111450
72441253120
oct631017566
9243676873
10107224950
1155586768
122baab586
13192a3221
1410352210
159630550
hex6641f76

107224950 has 96 divisors (see below), whose sum is σ = 321836544. Its totient is φ = 23063040.

The previous prime is 107224913. The next prime is 107224951. The reversal of 107224950 is 59422701.

It is a super-2 number, since 2×1072249502 = 22994379805005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107224951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14847 + ... + 20853.

It is an arithmetic number, because the mean of its divisors is an integer number (3352464).

Almost surely, 2107224950 is an apocalyptic number.

107224950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107224950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160918272).

107224950 is an abundant number, since it is smaller than the sum of its proper divisors (214611594).

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

107224950 is a wasteful number, since it uses less digits than its factorization.

107224950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 107224950 is about 10354.9480925787. The cubic root of 107224950 is about 475.0783988786.

The spelling of 107224950 in words is "one hundred seven million, two hundred twenty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 50 51 70 75 85 102 105 119 150 170 175 210 238 255 350 357 425 510 525 595 714 850 1050 1190 1275 1785 2550 2975 3570 5950 6007 8925 12014 17850 18021 30035 36042 42049 60070 84098 90105 102119 126147 150175 180210 204238 210245 252294 300350 306357 420490 450525 510595 612714 630735 714833 901050 1021190 1051225 1261470 1429666 1531785 2102450 2144499 2552975 3063570 3153675 3574165 4288998 5105950 6307350 7148330 7658925 10722495 15317850 17870825 21444990 35741650 53612475 107224950