117522000 has 120 divisors (see below), whose sum is σ = 410528040. Its totient is φ = 31334400.

The previous prime is 117521993. The next prime is 117522001. The reversal of 117522000 is 225711.

It can be written as a sum of positive squares in 4 ways, for example, as 22810176 + 94711824 = 4776^2 + 9732^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×117522000² = 27622840968000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117522001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14736 + ... + 21264.

It is an arithmetic number, because the mean of its divisors is an integer number (3421067).

Almost surely, 2^117522000 is an apocalyptic number.

117522000 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 117522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205264020).

117522000 is an abundant number, since it is smaller than the sum of its proper divisors (293006040).

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

117522000 is a wasteful number, since it uses less digits than its factorization.

117522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 117522000 is about 10840.7564311721. The cubic root of 117522000 is about 489.8236210947.

Adding to 117522000 its reverse (225711), we get a palindrome (117747711).

The spelling of 117522000 in words is "one hundred seventeen million, five hundred twenty-two thousand".