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122210820 = 22325678949
BaseRepresentation
bin1110100100011…
…00101000000100
322111221221201200
413102030220010
5222241221240
620043222500
73012526524
oct722145004
9274857650
10122210820
1162a91886
1234b17a30
131c41c2c4
1412333684
15aae0930
hex748ca04

122210820 has 36 divisors (see below), whose sum is σ = 370706700. Its totient is φ = 32589504.

The previous prime is 122210797. The next prime is 122210849. The reversal of 122210820 is 28012221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17189316 + 105021504 = 4146^2 + 10248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122210793 and 122210802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339295 + ... + 339654.

Almost surely, 2122210820 is an apocalyptic number.

122210820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210820 is an abundant number, since it is smaller than the sum of its proper divisors (248495880).

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

122210820 is a wasteful number, since it uses less digits than its factorization.

122210820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678964 (or 678959 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122210820 is about 11054.9002709206. The cubic root of 122210820 is about 496.2530847243.

The spelling of 122210820 in words is "one hundred twenty-two million, two hundred ten thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 678949 1357898 2036847 2715796 3394745 4073694 6110541 6789490 8147388 10184235 12221082 13578980 20368470 24442164 30552705 40736940 61105410 122210820