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122240664 = 2335713691
BaseRepresentation
bin1110100100100…
…11111010011000
322112000110200000
413102103322120
5222243200124
620044013000
73013012530
oct722237230
9275013600
10122240664
1163002247
1234b31160
131c42ca70
14123404c0
15aae96c9
hex7493e98

122240664 has 192 divisors, whose sum is σ = 423171840. Its totient is φ = 32192640.

The previous prime is 122240641. The next prime is 122240669. The reversal of 122240664 is 466042221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122240669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176559 + ... + 177249.

It is an arithmetic number, because the mean of its divisors is an integer number (2204020).

Almost surely, 2122240664 is an apocalyptic number.

122240664 is a gapful number since it is divisible by the number (14) 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 122240664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211585920).

122240664 is an abundant number, since it is smaller than the sum of its proper divisors (300931176).

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

122240664 is a wasteful number, since it uses less digits than its factorization.

122240664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 122240664 is about 11056.2499971735. The cubic root of 122240664 is about 496.2934765970.

Adding to 122240664 its reverse (466042221), we get a palindrome (588282885).

The spelling of 122240664 in words is "one hundred twenty-two million, two hundred forty thousand, six hundred sixty-four".