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122142264 = 2335089261
BaseRepresentation
bin1110100011110…
…11111000111000
322111211110200120
413101323320320
5222232023024
620041533240
73012122616
oct721737070
9274743616
10122142264
1162a45322
1234aa4220
131c3c703a
14123166b6
15aaca479
hex747be38

122142264 has 16 divisors (see below), whose sum is σ = 305355720. Its totient is φ = 40714080.

The previous prime is 122142247. The next prime is 122142281. The reversal of 122142264 is 462241221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122142247) and next prime (122142281).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5089261 = 122142264 / (1 + 2 + 2 + 1 + 4 + 2 + 2 + 6 + 4).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2544607 + ... + 2544654.

Almost surely, 2122142264 is an apocalyptic number.

It is an amenable number.

122142264 is an abundant number, since it is smaller than the sum of its proper divisors (183213456).

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

122142264 is a wasteful number, since it uses less digits than its factorization.

122142264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089270 (or 5089266 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 122142264 is about 11051.7991295535. The cubic root of 122142264 is about 496.1602738204.

Adding to 122142264 its reverse (462241221), we get a palindrome (584383485).

The spelling of 122142264 in words is "one hundred twenty-two million, one hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 5089261 10178522 15267783 20357044 30535566 40714088 61071132 122142264