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212689020 = 22357149927
BaseRepresentation
bin11001010110101…
…10000001111100
3112211012201111010
430223112001330
5413422022040
633034355220
75161553415
oct1453260174
9484181433
10212689020
11aa06a455
125b28bb10
13350aaabb
142036680c
1513a13e80
hexcad607c

212689020 has 48 divisors (see below), whose sum is σ = 603929088. Its totient is φ = 55917120.

The previous prime is 212689003. The next prime is 212689033. The reversal of 212689020 is 20986212.

212689020 is digitally balanced in base 2, because in such base 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 (30).

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, 20704 + ... + 29223.

It is an arithmetic number, because the mean of its divisors is an integer number (12581856).

Almost surely, 2212689020 is an apocalyptic number.

212689020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212689020 is an abundant number, since it is smaller than the sum of its proper divisors (391240068).

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

212689020 is a wasteful number, since it uses less digits than its factorization.

212689020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50010 (or 50008 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 212689020 is about 14583.8616285262. The cubic root of 212689020 is about 596.9184785813.

The spelling of 212689020 in words is "two hundred twelve million, six hundred eighty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 49927 99854 149781 199708 249635 299562 499270 599124 748905 998540 1497810 2995620 3544817 7089634 10634451 14179268 17724085 21268902 35448170 42537804 53172255 70896340 106344510 212689020