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69922116 = 22341123853
BaseRepresentation
bin1000010101011…
…10110101000100
311212120102010000
410022232311010
5120400001431
610534401300
71506220365
oct412566504
9155512100
1069922116
1136518580
121b500230
1311642244
149401b6c
1562129e6
hex42aed44

69922116 has 120 divisors (see below), whose sum is σ = 208321344. Its totient is φ = 20243520.

The previous prime is 69922091. The next prime is 69922117. The reversal of 69922116 is 61122996.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (69922117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81546 + ... + 82398.

Almost surely, 269922116 is an apocalyptic number.

69922116 is a gapful number since it is divisible by the number (66) 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 69922116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160672).

69922116 is an abundant number, since it is smaller than the sum of its proper divisors (138399228).

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

69922116 is a wasteful number, since it uses less digits than its factorization.

69922116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 892 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 69922116 is about 8361.9445106985. The cubic root of 69922116 is about 411.9756245987.

The spelling of 69922116 in words is "sixty-nine million, nine hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 162 198 207 253 276 297 324 396 414 506 594 621 759 828 853 891 1012 1188 1242 1518 1706 1782 1863 2277 2484 2559 3036 3412 3564 3726 4554 5118 6831 7452 7677 9108 9383 10236 13662 15354 18766 19619 20493 23031 27324 28149 30708 37532 39238 40986 46062 56298 58857 69093 78476 81972 84447 92124 112596 117714 138186 168894 176571 215809 235428 253341 276372 337788 353142 431618 506682 529713 647427 706284 760023 863236 1013364 1059426 1294854 1520046 1589139 1942281 2118852 2589708 3040092 3178278 3884562 5826843 6356556 7769124 11653686 17480529 23307372 34961058 69922116