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212032020 = 223519185993
BaseRepresentation
bin11001010001101…
…01101000010100
3112202222100020210
430220311220110
5413240011040
633012325420
75153146104
oct1450655024
9482870223
10212032020
11a9760882
125b013870
1334c0aa45
1420235204
1513934480
hexca35a14

212032020 has 48 divisors (see below), whose sum is σ = 624939840. Its totient is φ = 53565696.

The previous prime is 212032013. The next prime is 212032061. The reversal of 212032020 is 20230212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212031987 and 212032005.

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, 91857 + ... + 94136.

It is an arithmetic number, because the mean of its divisors is an integer number (13019580).

Almost surely, 2212032020 is an apocalyptic number.

212032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212032020 is an abundant number, since it is smaller than the sum of its proper divisors (412907820).

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

212032020 is a wasteful number, since it uses less digits than its factorization.

212032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186024 (or 186022 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212032020 is about 14561.3193083594. The cubic root of 212032020 is about 596.3032141809.

Adding to 212032020 its reverse (20230212), we get a palindrome (232262232).

The spelling of 212032020 in words is "two hundred twelve million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 185993 371986 557979 743972 929965 1115958 1859930 2231916 2789895 3533867 3719860 5579790 7067734 10601601 11159580 14135468 17669335 21203202 35338670 42406404 53008005 70677340 106016010 212032020