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212271324 = 223235091511
BaseRepresentation
bin11001010011100…
…00000011011100
3112210102111111220
430221300003130
5413320140244
633021413340
75155163556
oct1451600334
9483374456
10212271324
11a9904651
125b10a250
1334c92945
14202984d6
1513980319
hexca700dc

212271324 has 48 divisors (see below), whose sum is σ = 518192640. Its totient is φ = 67503040.

The previous prime is 212271313. The next prime is 212271337. The reversal of 212271324 is 423172212.

It is a super-2 number, since 2×2122713242 = 90118229985425952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212271294 and 212271303.

It is a congruent number.

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, 139729 + ... + 141239.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2212271324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212271324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

212271324 is an abundant number, since it is smaller than the sum of its proper divisors (305921316).

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

212271324 is a wasteful number, since it uses less digits than its factorization.

212271324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2048 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 212271324 is about 14569.5341037385. The cubic root of 212271324 is about 596.5274634776.

The spelling of 212271324 in words is "two hundred twelve million, two hundred seventy-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 509 1018 1511 1527 2036 3022 3054 4533 6044 6108 9066 11707 18132 23414 34753 35121 46828 69506 70242 104259 139012 140484 208518 417036 769099 1538198 2307297 3076396 4614594 9229188 17689277 35378554 53067831 70757108 106135662 212271324