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212294040 = 23357252731
BaseRepresentation
bin11001010011101…
…01100110011000
3112210110122200020
430221311212120
5413321402130
633022110440
75155320030
oct1451654630
9483418606
10212294040
11a991a722
125b11b420
1334ca009a
14202a28c0
1513986e10
hexca75998

212294040 has 64 divisors (see below), whose sum is σ = 727868160. Its totient is φ = 48524160.

The previous prime is 212294003. The next prime is 212294041. The reversal of 212294040 is 40492212.

212294040 is digitally balanced in base 2 and base 3, because in such bases 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212294040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212294041) 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, 125526 + ... + 127205.

It is an arithmetic number, because the mean of its divisors is an integer number (11372940).

Almost surely, 2212294040 is an apocalyptic number.

212294040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212294040 is an abundant number, since it is smaller than the sum of its proper divisors (515574120).

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

212294040 is a wasteful number, since it uses less digits than its factorization.

212294040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252752 (or 252748 counting only the distinct ones).

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

The square root of 212294040 is about 14570.3136548257. The cubic root of 212294040 is about 596.5487416453.

The spelling of 212294040 in words is "two hundred twelve million, two hundred ninety-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 252731 505462 758193 1010924 1263655 1516386 1769117 2021848 2527310 3032772 3538234 3790965 5054620 5307351 6065544 7076468 7581930 8845585 10109240 10614702 14152936 15163860 17691170 21229404 26536755 30327720 35382340 42458808 53073510 70764680 106147020 212294040