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212134440 = 23357252541
BaseRepresentation
bin11001010010011…
…10101000101000
3112210011112202010
430221032220220
5413301300230
633014435520
75154053520
oct1451165050
9483145663
10212134440
11a9820821
125b062ba0
1334c4554b
1420260680
15139549b0
hexca4ea28

212134440 has 64 divisors (see below), whose sum is σ = 727320960. Its totient is φ = 48487680.

The previous prime is 212134427. The next prime is 212134469. The reversal of 212134440 is 44431212.

It is a super-2 number, since 2×2121344402 = 90002041268227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 125431 + ... + 127110.

It is an arithmetic number, because the mean of its divisors is an integer number (11364390).

Almost surely, 2212134440 is an apocalyptic number.

212134440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212134440 is an abundant number, since it is smaller than the sum of its proper divisors (515186520).

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

212134440 is a wasteful number, since it uses less digits than its factorization.

212134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252562 (or 252558 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 212134440 is about 14564.8357354280. The cubic root of 212134440 is about 596.3992115437.

Adding to 212134440 its reverse (44431212), we get a palindrome (256565652).

The spelling of 212134440 in words is "two hundred twelve million, one hundred thirty-four thousand, four hundred 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 252541 505082 757623 1010164 1262705 1515246 1767787 2020328 2525410 3030492 3535574 3788115 5050820 5303361 6060984 7071148 7576230 8838935 10101640 10606722 14142296 15152460 17677870 21213444 26516805 30304920 35355740 42426888 53033610 70711480 106067220 212134440