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101616228 = 22337139967
BaseRepresentation
bin1100000111010…
…00101001100100
321002012122021000
412003220221210
5202003204403
614025553300
72342503140
oct603505144
9232178230
10101616228
11523a585a
122a045830
131808b35c
14d6d2220
158dc37a3
hex60e8a64

101616228 has 96 divisors (see below), whose sum is σ = 303564800. Its totient is φ = 28794528.

The previous prime is 101616197. The next prime is 101616239. The reversal of 101616228 is 822616101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104601 + ... + 105567.

Almost surely, 2101616228 is an apocalyptic number.

101616228 is a gapful number since it is divisible by the number (18) 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 101616228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151782400).

101616228 is an abundant number, since it is smaller than the sum of its proper divisors (201948572).

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

101616228 is a wasteful number, since it uses less digits than its factorization.

101616228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101616228 is about 10080.4874882121. The cubic root of 101616228 is about 466.6461530665.

The spelling of 101616228 in words is "one hundred one million, six hundred sixteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 139 189 252 278 378 417 556 756 834 967 973 1251 1668 1934 1946 2502 2901 2919 3753 3868 3892 5004 5802 5838 6769 7506 8703 8757 11604 11676 13538 15012 17406 17514 20307 26109 26271 27076 34812 35028 40614 52218 52542 60921 81228 104436 105084 121842 134413 182763 243684 268826 365526 403239 537652 731052 806478 940891 1209717 1612956 1881782 2419434 2822673 3629151 3763564 4838868 5645346 7258302 8468019 11290692 14516604 16936038 25404057 33872076 50808114 101616228