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116222640 = 2435539137
BaseRepresentation
bin1101110110101…
…10101010110000
322002200201111020
412323112222300
5214223111030
615311015440
72610606342
oct673265260
9262621436
10116222640
115a671876
1232b0a580
131b1037c1
1411615292
15a30b510
hex6ed6ab0

116222640 has 80 divisors (see below), whose sum is σ = 367128288. Its totient is φ = 30404608.

The previous prime is 116222599. The next prime is 116222683. The reversal of 116222640 is 46222611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 116222640.

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, 8152 + ... + 17288.

Almost surely, 2116222640 is an apocalyptic number.

116222640 is a gapful number since it is divisible by the number (10) 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 116222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183564144).

116222640 is an abundant number, since it is smaller than the sum of its proper divisors (250905648).

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

116222640 is a wasteful number, since it uses less digits than its factorization.

116222640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 9200 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 116222640 is about 10780.6604621424. The cubic root of 116222640 is about 488.0117125201.

The spelling of 116222640 in words is "one hundred sixteen million, two hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 9137 12720 18274 27411 36548 45685 54822 73096 91370 109644 137055 146192 182740 219288 274110 365480 438576 484261 548220 730960 968522 1096440 1452783 1937044 2192880 2421305 2905566 3874088 4842610 5811132 7263915 7748176 9685220 11622264 14527830 19370440 23244528 29055660 38740880 58111320 116222640