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212422920 = 23353747843
BaseRepresentation
bin11001010100101…
…01000100001000
3112210201012110120
430222111010020
5413340013140
633024543240
75156364543
oct1452250410
9483635416
10212422920
11a99a8536
125b181b20
1335016948
14202d785a
15139b01d0
hexca95108

212422920 has 64 divisors (see below), whose sum is σ = 654505920. Its totient is φ = 55113984.

The previous prime is 212422901. The next prime is 212422921. The reversal of 212422920 is 29224212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212422921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19482 + ... + 28361.

It is an arithmetic number, because the mean of its divisors is an integer number (10226655).

Almost surely, 2212422920 is an apocalyptic number.

212422920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212422920 is an abundant number, since it is smaller than the sum of its proper divisors (442083000).

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

212422920 is a wasteful number, since it uses less digits than its factorization.

212422920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47894 (or 47890 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 212422920 is about 14574.7356751332. The cubic root of 212422920 is about 596.6694353287.

The spelling of 212422920 in words is "two hundred twelve million, four hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 47843 95686 143529 191372 239215 287058 382744 478430 574116 717645 956860 1148232 1435290 1770191 1913720 2870580 3540382 5310573 5741160 7080764 8850955 10621146 14161528 17701910 21242292 26552865 35403820 42484584 53105730 70807640 106211460 212422920