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212035020 = 223514292473
BaseRepresentation
bin11001010001101…
…10010111001100
3112202222111100220
430220312113030
5413240110040
633012351340
75153160621
oct1450662714
9482874326
10212035020
11a976305a
125b015550
1334c0c212
1420236348
15139352d0
hexca365cc

212035020 has 48 divisors (see below), whose sum is σ = 594353760. Its totient is φ = 56480256.

The previous prime is 212034989. The next prime is 212035027. The reversal of 212035020 is 20530212.

212035020 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 (15).

It is not an unprimeable number, because it can be changed into a prime (212035027) 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, 84504 + ... + 86976.

It is an arithmetic number, because the mean of its divisors is an integer number (12382370).

Almost surely, 2212035020 is an apocalyptic number.

212035020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212035020 is an abundant number, since it is smaller than the sum of its proper divisors (382318740).

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

212035020 is a wasteful number, since it uses less digits than its factorization.

212035020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 212035020 is about 14561.4223206389. The cubic root of 212035020 is about 596.3060264939.

Adding to 212035020 its reverse (20530212), we get a palindrome (232565232).

The spelling of 212035020 in words is "two hundred twelve million, thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1429 2473 2858 4287 4946 5716 7145 7419 8574 9892 12365 14290 14838 17148 21435 24730 28580 29676 37095 42870 49460 74190 85740 148380 3533917 7067834 10601751 14135668 17669585 21203502 35339170 42407004 53008755 70678340 106017510 212035020