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106250232 = 233111273169
BaseRepresentation
bin1100101010100…
…11111111111000
321101221001220210
412111103333320
5204200001412
614313151120
72430053304
oct625237770
9241831823
10106250232
1154a80410
122b6bb4a0
131902167a
141017ad04
1594db83c
hex6553ff8

106250232 has 64 divisors (see below), whose sum is σ = 292147200. Its totient is φ = 31933440.

The previous prime is 106250201. The next prime is 106250267. The reversal of 106250232 is 232052601.

It is a super-2 number, since 2×1062502322 = 22578223600107648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106250199 and 106250208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31944 + ... + 35112.

It is an arithmetic number, because the mean of its divisors is an integer number (4564800).

Almost surely, 2106250232 is an apocalyptic number.

106250232 is a gapful number since it is divisible by the number (12) 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 106250232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146073600).

106250232 is an abundant number, since it is smaller than the sum of its proper divisors (185896968).

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

106250232 is a wasteful number, since it uses less digits than its factorization.

106250232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 106250232 is about 10307.7753176910. The cubic root of 106250232 is about 473.6344633240.

The spelling of 106250232 in words is "one hundred six million, two hundred fifty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2794 3048 3169 4191 5588 6338 8382 9507 11176 12676 16764 19014 25352 33528 34859 38028 69718 76056 104577 139436 209154 278872 402463 418308 804926 836616 1207389 1609852 2414778 3219704 4427093 4829556 8854186 9659112 13281279 17708372 26562558 35416744 53125116 106250232