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214223412560 = 24520963127739
BaseRepresentation
bin1100011110000010110…
…1011101110101010000
3202110221121010220111012
43013200231131311100
512002212143200220
6242225103110052
721322440651053
oct3074055356520
9673847126435
10214223412560
1182940593613
1235626ba2328
131727ccc1b21
14a523112a9a
15588bed8ac5
hex31e0b5dd50

214223412560 has 40 divisors (see below), whose sum is σ = 498097092960. Its totient is φ = 85684606592.

The previous prime is 214223412551. The next prime is 214223412563. The reversal of 214223412560 is 65214322412.

214223412560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214223412563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1613171 + ... + 1740909.

It is an arithmetic number, because the mean of its divisors is an integer number (12452427324).

Almost surely, 2214223412560 is an apocalyptic number.

214223412560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214223412560 is an abundant number, since it is smaller than the sum of its proper divisors (283873680400).

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

214223412560 is a wasteful number, since it uses less digits than its factorization.

214223412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148715 (or 148709 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 214223412560 its reverse (65214322412), we get a palindrome (279437734972).

The spelling of 214223412560 in words is "two hundred fourteen billion, two hundred twenty-three million, four hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 20963 41926 83852 104815 127739 167704 209630 255478 335408 419260 510956 638695 838520 1021912 1277390 1677040 2043824 2554780 5109560 10219120 2677792657 5355585314 10711170628 13388963285 21422341256 26777926570 42844682512 53555853140 107111706280 214223412560