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117202668 = 223117312163
BaseRepresentation
bin1101111110001…
…01111011101100
322011112111211120
412333011323230
5220000441133
615344020540
72622130512
oct677057354
9264474746
10117202668
1160181110
1233301750
131b3878bb
14117cc4b2
15a451ab3
hex6fc5eec

117202668 has 48 divisors (see below), whose sum is σ = 302445696. Its totient is φ = 35026560.

The previous prime is 117202667. The next prime is 117202669. The reversal of 117202668 is 866202711.

It is an interprime number because it is at equal distance from previous prime (117202667) and next prime (117202669).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (117202667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3555 + ... + 15717.

It is an arithmetic number, because the mean of its divisors is an integer number (6300952).

Almost surely, 2117202668 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 117202668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151222848).

117202668 is an abundant number, since it is smaller than the sum of its proper divisors (185243028).

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

117202668 is a wasteful number, since it uses less digits than its factorization.

117202668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254 (or 12252 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 117202668 is about 10826.0181045480. The cubic root of 117202668 is about 489.3795673774.

The spelling of 117202668 in words is "one hundred seventeen million, two hundred two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 2409 3212 4818 9636 12163 24326 36489 48652 72978 133793 145956 267586 401379 535172 802758 887899 1605516 1775798 2663697 3551596 5327394 9766889 10654788 19533778 29300667 39067556 58601334 117202668