Search a number
-
+
122357220 = 22352039287
BaseRepresentation
bin1110100101100…
…00010111100100
322112020101112220
413102300113210
5222310412340
620050312340
73014006406
oct722602744
9275211486
10122357220
1163081877
1234b886b0
131c470b2b
1412370b76
15ab1ded0
hex74b05e4

122357220 has 24 divisors (see below), whose sum is σ = 342600384. Its totient is φ = 32628576.

The previous prime is 122357203. The next prime is 122357233. The reversal of 122357220 is 22753221.

It is a happy number.

It is a super-2 number, since 2×1223572202 = 29942578572256800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019584 + ... + 1019703.

It is an arithmetic number, because the mean of its divisors is an integer number (14275016).

Almost surely, 2122357220 is an apocalyptic number.

122357220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122357220 is an abundant number, since it is smaller than the sum of its proper divisors (220243164).

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

122357220 is a wasteful number, since it uses less digits than its factorization.

122357220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039299 (or 2039297 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 122357220 is about 11061.5197870817. The cubic root of 122357220 is about 496.4511644591.

The spelling of 122357220 in words is "one hundred twenty-two million, three hundred fifty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2039287 4078574 6117861 8157148 10196435 12235722 20392870 24471444 30589305 40785740 61178610 122357220