Search a number
-
+
216256020 = 22359913637
BaseRepresentation
bin11001110001111…
…00111000010100
3120001220221111020
430320330320110
5420330143040
633243041140
75234101011
oct1470747024
9501827436
10216256020
11101086392
12605101b0
1335a59556
1420a14708
1513ebacd0
hexce3ce14

216256020 has 48 divisors (see below), whose sum is σ = 606294528. Its totient is φ = 57594240.

The previous prime is 216256013. The next prime is 216256037. The reversal of 216256020 is 20652612.

216256020 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

216256020 is strictly pandigital in base 9.

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, 57642 + ... + 61278.

It is an arithmetic number, because the mean of its divisors is an integer number (12631136).

Almost surely, 2216256020 is an apocalyptic number.

216256020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216256020 is an abundant number, since it is smaller than the sum of its proper divisors (390038508).

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

216256020 is a wasteful number, since it uses less digits than its factorization.

216256020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 216256020 is about 14705.6458545689. The cubic root of 216256020 is about 600.2369619583.

The spelling of 216256020 in words is "two hundred sixteen million, two hundred fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 991 1982 2973 3637 3964 4955 5946 7274 9910 10911 11892 14548 14865 18185 19820 21822 29730 36370 43644 54555 59460 72740 109110 218220 3604267 7208534 10812801 14417068 18021335 21625602 36042670 43251204 54064005 72085340 108128010 216256020