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212056200 = 233252117809
BaseRepresentation
bin11001010001110…
…11100010001000
3112210000120102100
430220323202020
5413241244300
633013033400
75153306436
oct1450734210
9483016370
10212056200
11a9777a64
125b025860
1334c18a55
142023dd56
151393b700
hexca3b888

212056200 has 72 divisors (see below), whose sum is σ = 712161450. Its totient is φ = 56547840.

The previous prime is 212056193. The next prime is 212056231. The reversal of 212056200 is 2650212.

212056200 is a `hidden beast` number, since 21 + 20 + 5 + 620 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 195944004 + 16112196 = 13998^2 + 4014^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57105 + ... + 60704.

Almost surely, 2212056200 is an apocalyptic number.

212056200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212056200 is an abundant number, since it is smaller than the sum of its proper divisors (500105250).

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

212056200 is a wasteful number, since it uses less digits than its factorization.

212056200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117831 (or 117819 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212056200 is about 14562.1495665990. The cubic root of 212056200 is about 596.3258806688.

The spelling of 212056200 in words is "two hundred twelve million, fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 117809 235618 353427 471236 589045 706854 942472 1060281 1178090 1413708 1767135 2120562 2356180 2827416 2945225 3534270 4241124 4712360 5301405 5890450 7068540 8482248 8835675 10602810 11780900 14137080 17671350 21205620 23561800 26507025 35342700 42411240 53014050 70685400 106028100 212056200