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122244340 = 22573101829
BaseRepresentation
bin1110100100101…
…00110011110100
322112000122201011
413102110303310
5222243304330
620044042004
73013026331
oct722246364
9275018634
10122244340
1163004a89
1234b33304
131c43163a
1412341988
15aaea82a
hex7494cf4

122244340 has 48 divisors (see below), whose sum is σ = 263123280. Its totient is φ = 47692800.

The previous prime is 122244299. The next prime is 122244361. The reversal of 122244340 is 43442221.

It is a happy number.

122244340 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10265616 + 111978724 = 3204^2 + 10582^2 .

122244340 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147046 + ... + 147874.

It is an arithmetic number, because the mean of its divisors is an integer number (5481735).

Almost surely, 2122244340 is an apocalyptic number.

122244340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122244340 is an abundant number, since it is smaller than the sum of its proper divisors (140878940).

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

122244340 is a wasteful number, since it uses less digits than its factorization.

122244340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 122244340 is about 11056.4162367378. The cubic root of 122244340 is about 496.2984513642.

Adding to 122244340 its reverse (43442221), we get a palindrome (165686561).

The spelling of 122244340 in words is "one hundred twenty-two million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 101 146 202 292 365 404 505 730 829 1010 1460 1658 2020 3316 4145 7373 8290 14746 16580 29492 36865 60517 73730 83729 121034 147460 167458 242068 302585 334916 418645 605170 837290 1210340 1674580 6112217 12224434 24448868 30561085 61122170 122244340