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106054228 = 2273174547
BaseRepresentation
bin1100101001001…
…00001001010100
321101120010001101
412110210021110
5204122213403
614305035444
72425306000
oct624441124
9241503041
10106054228
1154957125
122b625b84
1318c833a7
1410129700
15949d71d
hex6524254

106054228 has 48 divisors (see below), whose sum is σ = 229219200. Its totient is φ = 42768768.

The previous prime is 106054213. The next prime is 106054243. The reversal of 106054228 is 822450601.

It is an interprime number because it is at equal distance from previous prime (106054213) and next prime (106054243).

It is a super-2 number, since 2×1060542282 = 22494998553351968, 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 = 106054196 and 106054205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21051 + ... + 25597.

It is an arithmetic number, because the mean of its divisors is an integer number (4775400).

Almost surely, 2106054228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106054228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114609600).

106054228 is an abundant number, since it is smaller than the sum of its proper divisors (123164972).

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

106054228 is a wasteful number, since it uses less digits than its factorization.

106054228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 106054228 is about 10298.2633487399. The cubic root of 106054228 is about 473.3430399826.

The spelling of 106054228 in words is "one hundred six million, fifty-four thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 3332 4547 5831 9094 11662 18188 23324 31829 63658 77299 127316 154598 222803 309196 445606 541093 891212 1082186 1559621 2164372 3119242 3787651 6238484 7575302 15150604 26513557 53027114 106054228