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122244240 = 24353971283
BaseRepresentation
bin1110100100101…
…00110010010000
322112000122120110
413102110302100
5222243303430
620044041320
73013026126
oct722246220
9275018513
10122244240
11630049a8
1234b33240
131c431591
1412341916
15aaea7b0
hex7494c90

122244240 has 80 divisors (see below), whose sum is σ = 380207808. Its totient is φ = 32491008.

The previous prime is 122244197. The next prime is 122244277. The reversal of 122244240 is 42442221.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 94639 + ... + 95921.

Almost surely, 2122244240 is an apocalyptic number.

122244240 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 122244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190103904).

122244240 is an abundant number, since it is smaller than the sum of its proper divisors (257963568).

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

122244240 is a wasteful number, since it uses less digits than its factorization.

122244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 122244240 is about 11056.4117144759. The cubic root of 122244240 is about 496.2983160346.

Adding to 122244240 its reverse (42442221), we get a palindrome (164686461).

The spelling of 122244240 in words is "one hundred twenty-two million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 397 794 1191 1283 1588 1985 2382 2566 3176 3849 3970 4764 5132 5955 6352 6415 7698 7940 9528 10264 11910 12830 15396 15880 19056 19245 20528 23820 25660 30792 31760 38490 47640 51320 61584 76980 95280 102640 153960 307920 509351 1018702 1528053 2037404 2546755 3056106 4074808 5093510 6112212 7640265 8149616 10187020 12224424 15280530 20374040 24448848 30561060 40748080 61122120 122244240