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212065620 = 223513271879
BaseRepresentation
bin11001010001111…
…01110101010100
3112210001001100020
430220331311110
5413242044440
633013145140
75153346054
oct1450756524
9483031306
10212065620
11a9784048
125b02b1b0
1334c20120
1420243564
151393e3d0
hexca3dd54

212065620 has 48 divisors (see below), whose sum is σ = 639461760. Its totient is φ = 52200576.

The previous prime is 212065619. The next prime is 212065627. The reversal of 212065620 is 26560212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212065627) 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, 135160 + ... + 136719.

It is an arithmetic number, because the mean of its divisors is an integer number (13322120).

Almost surely, 2212065620 is an apocalyptic number.

212065620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212065620 is an abundant number, since it is smaller than the sum of its proper divisors (427396140).

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

212065620 is a wasteful number, since it uses less digits than its factorization.

212065620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271904 (or 271902 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 212065620 is about 14562.4730042668. The cubic root of 212065620 is about 596.3347105712.

The spelling of 212065620 in words is "two hundred twelve million, sixty-five thousand, six hundred twenty".

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 271879 543758 815637 1087516 1359395 1631274 2718790 3262548 3534427 4078185 5437580 7068854 8156370 10603281 14137708 16312740 17672135 21206562 35344270 42413124 53016405 70688540 106032810 212065620