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86919228 = 2232111032131
BaseRepresentation
bin1010010111001…
…00100000111100
320001112221202200
411023210200330
5134222403403
612342551500
72103541554
oct513444074
9201487680
1086919228
1145077780
1225138590
13150138c6
14b788164
15796dca3
hex52e483c

86919228 has 72 divisors (see below), whose sum is σ = 242126976. Its totient is φ = 26071200.

The previous prime is 86919227. The next prime is 86919233. The reversal of 86919228 is 82291968.

It is a super-2 number, since 2×869192282 = 15109904392231968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86919223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39723 + ... + 41853.

Almost surely, 286919228 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 86919228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121063488).

86919228 is an abundant number, since it is smaller than the sum of its proper divisors (155207748).

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

86919228 is a wasteful number, since it uses less digits than its factorization.

86919228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2250 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 86919228 is about 9323.0482139695. The cubic root of 86919228 is about 442.9675915192.

The spelling of 86919228 in words is "eighty-six million, nine hundred nineteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1854 2131 2266 3399 3708 4262 4532 6393 6798 8524 10197 12786 13596 19179 20394 23441 25572 38358 40788 46882 70323 76716 93764 140646 210969 219493 281292 421938 438986 658479 843876 877972 1316958 1975437 2414423 2633916 3950874 4828846 7243269 7901748 9657692 14486538 21729807 28973076 43459614 86919228