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214430240020 = 22531213435281
BaseRepresentation
bin1100011110110100001…
…0011100110100010100
3202111111000022211102111
43013231002130310110
512003123120140040
6242301412120404
721330531652423
oct3075502346424
9674430284374
10214430240020
1182a3730a0a7
1235684306104
13172b3ac9939
14a5427912ba
1558a0240dea
hex31ed09cd14

214430240020 has 24 divisors (see below), whose sum is σ = 450447916968. Its totient is φ = 85744588800.

The previous prime is 214430239963. The next prime is 214430240021. The reversal of 214430240020 is 20042034412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7255973124 + 207174266896 = 85182^2 + 455164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214430239973 and 214430240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214430240021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1655221 + ... + 1780060.

It is an arithmetic number, because the mean of its divisors is an integer number (18768663207).

Almost surely, 2214430240020 is an apocalyptic number.

214430240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214430240020 is an abundant number, since it is smaller than the sum of its proper divisors (236017676948).

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

214430240020 is a wasteful number, since it uses less digits than its factorization.

214430240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438411 (or 3438409 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 214430240020 its reverse (20042034412), we get a palindrome (234472274432).

The spelling of 214430240020 in words is "two hundred fourteen billion, four hundred thirty million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 3121 6242 12484 15605 31210 62420 3435281 6870562 13741124 17176405 34352810 68705620 10721512001 21443024002 42886048004 53607560005 107215120010 214430240020