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212630340 = 223513272603
BaseRepresentation
bin11001010110001…
…11101101000100
3112211002201222210
430223013231010
5413413132330
633033223420
75161220346
oct1453075504
9484081883
10212630340
11aa02a35a
125b261b70
133508a190
142034d296
1513a018b0
hexcac7b44

212630340 has 48 divisors (see below), whose sum is σ = 641164608. Its totient is φ = 52339584.

The previous prime is 212630309. The next prime is 212630359. The reversal of 212630340 is 43036212.

It is a happy number.

212630340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2126303402 = 90423322977031200, which contains 22 as substring.

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, 135522 + ... + 137081.

It is an arithmetic number, because the mean of its divisors is an integer number (13357596).

Almost surely, 2212630340 is an apocalyptic number.

212630340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212630340 is an abundant number, since it is smaller than the sum of its proper divisors (428534268).

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

212630340 is a wasteful number, since it uses less digits than its factorization.

212630340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272628 (or 272626 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 212630340 is about 14581.8496769100. The cubic root of 212630340 is about 596.8635777718.

Adding to 212630340 its reverse (43036212), we get a palindrome (255666552).

The spelling of 212630340 in words is "two hundred twelve million, six hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 272603 545206 817809 1090412 1363015 1635618 2726030 3271236 3543839 4089045 5452060 7087678 8178090 10631517 14175356 16356180 17719195 21263034 35438390 42526068 53157585 70876780 106315170 212630340