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212054220 = 22335756099
BaseRepresentation
bin11001010001110…
…11000011001100
3112210000110201000
430220323003030
5413241213340
633013020300
75153300610
oct1450730314
9483013630
10212054220
11a9776524
125b024690
1334c17b91
142023d340
151393ad30
hexca3b0cc

212054220 has 96 divisors (see below), whose sum is σ = 753984000. Its totient is φ = 48468672.

The previous prime is 212054207. The next prime is 212054221. The reversal of 212054220 is 22450212.

212054220 is a `hidden beast` number, since 2 + 120 + 542 + 2 + 0 = 666.

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 = 212054193 and 212054202.

It is not an unprimeable number, because it can be changed into a prime (212054221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24270 + ... + 31829.

It is an arithmetic number, because the mean of its divisors is an integer number (7854000).

Almost surely, 2212054220 is an apocalyptic number.

212054220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212054220 is an abundant number, since it is smaller than the sum of its proper divisors (541929780).

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

212054220 is a wasteful number, since it uses less digits than its factorization.

212054220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56124 (or 56116 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 212054220 is about 14562.0815819717. The cubic root of 212054220 is about 596.3240246688.

It can be divided in two parts, 21205 and 4220, that added together give a triangular number (25425 = T225).

The spelling of 212054220 in words is "two hundred twelve million, fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 56099 112198 168297 224396 280495 336594 392693 504891 560990 673188 785386 841485 1009782 1121980 1178079 1514673 1570772 1682970 1963465 2019564 2356158 2524455 3029346 3365940 3534237 3926930 4712316 5048910 5890395 6058692 7068474 7573365 7853860 10097820 10602711 11780790 14136948 15146730 17671185 21205422 23561580 30293460 35342370 42410844 53013555 70684740 106027110 212054220