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212355020 = 22519558829
BaseRepresentation
bin11001010100001…
…00011111001100
3112210120202022202
430222010133030
5413330330040
633023301032
75155662563
oct1452043714
9483522282
10212355020
11a9961519
125b14a778
1334cc1a77
14202babda
151399a015
hexca847cc

212355020 has 24 divisors (see below), whose sum is σ = 469417200. Its totient is φ = 80471232.

The previous prime is 212354971. The next prime is 212355083. The reversal of 212355020 is 20553212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212354983 and 212355001.

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, 279035 + ... + 279794.

It is an arithmetic number, because the mean of its divisors is an integer number (19559050).

Almost surely, 2212355020 is an apocalyptic number.

212355020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212355020 is an abundant number, since it is smaller than the sum of its proper divisors (257062180).

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

212355020 is a wasteful number, since it uses less digits than its factorization.

212355020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558857 (or 558855 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 212355020 is about 14572.4061156694. The cubic root of 212355020 is about 596.6058543489.

The spelling of 212355020 in words is "two hundred twelve million, three hundred fifty-five thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 558829 1117658 2235316 2794145 5588290 10617751 11176580 21235502 42471004 53088755 106177510 212355020