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216323140 = 225114720921
BaseRepresentation
bin11001110010011…
…01010001000100
3120002001100120011
430321031101010
5420334320030
633244320004
75234500465
oct1471152104
9502040504
10216323140
11101121860
1260543004
1335a80c77
1420a30d6c
1513ed0b2a
hexce4d444

216323140 has 48 divisors (see below), whose sum is σ = 506145024. Its totient is φ = 76985600.

The previous prime is 216323131. The next prime is 216323143. The reversal of 216323140 is 41323612.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (216323143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121 + ... + 20800.

It is an arithmetic number, because the mean of its divisors is an integer number (10544688).

Almost surely, 2216323140 is an apocalyptic number.

216323140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253072512).

216323140 is an abundant number, since it is smaller than the sum of its proper divisors (289821884).

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

216323140 is a wasteful number, since it uses less digits than its factorization.

216323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20988 (or 20986 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 216323140 is about 14707.9277942204. The cubic root of 216323140 is about 600.2990546228.

Adding to 216323140 its reverse (41323612), we get a palindrome (257646752).

The spelling of 216323140 in words is "two hundred sixteen million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 20921 41842 83684 104605 209210 230131 418420 460262 920524 983287 1150655 1966574 2301310 3933148 4602620 4916435 9832870 10816157 19665740 21632314 43264628 54080785 108161570 216323140