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212745540 = 22357506537
BaseRepresentation
bin11001010111000…
…11110101000100
3112211022121000110
430223203311010
5413430324130
633035513020
75162210250
oct1453436504
9484277013
10212745540
11aa0a8967
125b2b8770
13350ca747
142037d260
1513a25ab0
hexcae3d44

212745540 has 48 divisors (see below), whose sum is σ = 680787072. Its totient is φ = 48627456.

The previous prime is 212745503. The next prime is 212745557. The reversal of 212745540 is 45547212.

212745540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 212745498 and 212745507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252849 + ... + 253688.

It is an arithmetic number, because the mean of its divisors is an integer number (14183064).

Almost surely, 2212745540 is an apocalyptic number.

212745540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212745540 is an abundant number, since it is smaller than the sum of its proper divisors (468041532).

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

212745540 is a wasteful number, since it uses less digits than its factorization.

212745540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506556 (or 506554 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 212745540 is about 14585.7992581826. The cubic root of 212745540 is about 596.9713489557.

The spelling of 212745540 in words is "two hundred twelve million, seven hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 506537 1013074 1519611 2026148 2532685 3039222 3545759 5065370 6078444 7091518 7598055 10130740 10637277 14183036 15196110 17728795 21274554 30392220 35457590 42549108 53186385 70915180 106372770 212745540