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216014140 = 22537833517
BaseRepresentation
bin11001110000000…
…01110100111100
3120001110122200201
430320001310330
5420244423030
633233533244
75232042556
oct1470016474
9501418621
10216014140
11100a30691
1260414224
13359a3424
14209904d6
1513e6e2ca
hexce01d3c

216014140 has 48 divisors (see below), whose sum is σ = 471637152. Its totient is φ = 83033856.

The previous prime is 216014111. The next prime is 216014159. The reversal of 216014140 is 41410612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59662 + ... + 63178.

It is an arithmetic number, because the mean of its divisors is an integer number (9825774).

Almost surely, 2216014140 is an apocalyptic number.

216014140 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 216014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235818576).

216014140 is an abundant number, since it is smaller than the sum of its proper divisors (255623012).

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

216014140 is a wasteful number, since it uses less digits than its factorization.

216014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 216014140 is about 14697.4195013955. The cubic root of 216014140 is about 600.0130923069.

Adding to 216014140 its reverse (41410612), we get a palindrome (257424752).

The spelling of 216014140 in words is "two hundred sixteen million, fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 83 148 166 185 332 370 415 740 830 1660 3071 3517 6142 7034 12284 14068 15355 17585 30710 35170 61420 70340 130129 260258 291911 520516 583822 650645 1167644 1301290 1459555 2602580 2919110 5838220 10800707 21601414 43202828 54003535 108007070 216014140