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122900 = 22521229
BaseRepresentation
bin11110000000010100
320020120212
4132000110
512413100
62344552
71021211
oct360024
9206525
10122900
1184378
125b158
1343c2b
1432b08
1526635
hex1e014

122900 has 18 divisors (see below), whose sum is σ = 266910. Its totient is φ = 49120.

The previous prime is 122891. The next prime is 122921. The reversal of 122900 is 9221.

It can be written as a sum of positive squares in 3 ways, for example, as 37636 + 85264 = 194^2 + 292^2 .

It is a congruent number.

It is an unprimeable number.

122900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 515 + ... + 714.

2122900 is an apocalyptic number.

122900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122900 is an abundant number, since it is smaller than the sum of its proper divisors (144010).

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

122900 is a wasteful number, since it uses less digits than its factorization.

122900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 122900 is about 350.5709628592. The cubic root of 122900 is about 49.7184171994.

The spelling of 122900 in words is "one hundred twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1229 2458 4916 6145 12290 24580 30725 61450 122900