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103222920 = 23357871093
BaseRepresentation
bin1100010011100…
…00111010001000
321012020021020010
412021300322020
5202411113140
614124231520
72362244313
oct611607210
9235207203
10103222920
11532a29a9
122a69b5a0
1318501768
14d9cd97a
1590de880
hex6270e88

103222920 has 64 divisors (see below), whose sum is σ = 310345920. Its totient is φ = 27465984.

The previous prime is 103222897. The next prime is 103222921. The reversal of 103222920 is 29222301.

It is not an unprimeable number, because it can be changed into a prime (103222921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93894 + ... + 94986.

It is an arithmetic number, because the mean of its divisors is an integer number (4849155).

Almost surely, 2103222920 is an apocalyptic number.

103222920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103222920 is an abundant number, since it is smaller than the sum of its proper divisors (207123000).

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

103222920 is a wasteful number, since it uses less digits than its factorization.

103222920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 103222920 is about 10159.8681093802. The cubic root of 103222920 is about 469.0927420429.

The spelling of 103222920 in words is "one hundred three million, two hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 787 1093 1574 2186 2361 3148 3279 3935 4372 4722 5465 6296 6558 7870 8744 9444 10930 11805 13116 15740 16395 18888 21860 23610 26232 31480 32790 43720 47220 65580 94440 131160 860191 1720382 2580573 3440764 4300955 5161146 6881528 8601910 10322292 12902865 17203820 20644584 25805730 34407640 51611460 103222920