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116622 = 232111931
BaseRepresentation
bin11100011110001110
312220222100
4130132032
512212442
62255530
7664002
oct343616
9186870
10116622
117a690
12575a6
134110c
1430702
152484c
hex1c78e

116622 has 48 divisors (see below), whose sum is σ = 299520. Its totient is φ = 32400.

The previous prime is 116593. The next prime is 116639. The reversal of 116622 is 226611.

It is a happy number.

116622 is a `hidden beast` number, since 1 + 1 + 662 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 116595 and 116604.

It is a congruent number.

It is an unprimeable number.

116622 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3747 + ... + 3777.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2116622 is an apocalyptic number.

It is a pronic number, being equal to 341×342.

116622 is the 279-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

116622 is an abundant number, since it is smaller than the sum of its proper divisors (182898).

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

116622 is a wasteful number, since it uses less digits than its factorization.

116622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 66 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 116622 is about 341.4996339676. The cubic root of 116622 is about 48.8570036198.

It can be divided in two parts, 11662 and 2, that added together give a square (11664 = 1082).

The spelling of 116622 in words is "one hundred sixteen thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 31 33 38 57 62 66 93 99 114 171 186 198 209 279 341 342 418 558 589 627 682 1023 1178 1254 1767 1881 2046 3069 3534 3762 5301 6138 6479 10602 12958 19437 38874 58311 116622