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214100020 = 22510705001
BaseRepresentation
bin11001100001011…
…10100000110100
3112220212102000101
430300232200310
5414302200040
633124523444
75206551211
oct1460564064
9486772011
10214100020
11aa943572
125b850584
1335483104
1420612b08
1513be209a
hexcc2e834

214100020 has 12 divisors (see below), whose sum is σ = 449610084. Its totient is φ = 85640000.

The previous prime is 214100017. The next prime is 214100101. The reversal of 214100020 is 20001412.

214100020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101485476 + 112614544 = 10074^2 + 10612^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5352481 + ... + 5352520.

It is an arithmetic number, because the mean of its divisors is an integer number (37467507).

Almost surely, 2214100020 is an apocalyptic number.

214100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214100020 is an abundant number, since it is smaller than the sum of its proper divisors (235510064).

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

214100020 is a wasteful number, since it uses less digits than its factorization.

214100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10705010 (or 10705008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 214100020 is about 14632.1570521916. The cubic root of 214100020 is about 598.2355756901.

Adding to 214100020 its reverse (20001412), we get a palindrome (234101432).

The spelling of 214100020 in words is "two hundred fourteen million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 10705001 21410002 42820004 53525005 107050010 214100020