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212351420 = 22517236739
BaseRepresentation
bin11001010100000…
…11100110111100
3112210120120101102
430222003212330
5413330221140
633023232232
75155646231
oct1452034674
9483516342
10212351420
11a9959846
125b148678
1334cc0238
14202b9788
1513998e15
hexca839bc

212351420 has 36 divisors (see below), whose sum is σ = 473725560. Its totient is φ = 79941888.

The previous prime is 212351413. The next prime is 212351441. The reversal of 212351420 is 24153212.

212351420 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 212351392 and 212351401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12590 + ... + 24149.

Almost surely, 2212351420 is an apocalyptic number.

212351420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212351420 is an abundant number, since it is smaller than the sum of its proper divisors (261374140).

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

212351420 is a wasteful number, since it uses less digits than its factorization.

212351420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36782 (or 36763 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 212351420 is about 14572.2825940207. The cubic root of 212351420 is about 596.6024829614.

The spelling of 212351420 in words is "two hundred twelve million, three hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 36739 73478 146956 183695 367390 624563 734780 1249126 2498252 3122815 6245630 10617571 12491260 21235142 42470284 53087855 106175710 212351420