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220929680 = 2452761621
BaseRepresentation
bin11010010101100…
…01111010010000
3120101201101112202
431022301322100
5423024222210
633531142332
75321604566
oct1512617220
9511641482
10220929680
11103788814
1261ba49a8
1336a0492a
14214ada36
15145e09a5
hexd2b1e90

220929680 has 20 divisors (see below), whose sum is σ = 513661692. Its totient is φ = 88371840.

The previous prime is 220929679. The next prime is 220929691. The reversal of 220929680 is 86929022.

It can be written as a sum of positive squares in 2 ways, for example, as 104203264 + 116726416 = 10208^2 + 10804^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 1380731 + ... + 1380890.

Almost surely, 2220929680 is an apocalyptic number.

220929680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220929680 is an abundant number, since it is smaller than the sum of its proper divisors (292732012).

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

220929680 is a wasteful number, since it uses less digits than its factorization.

220929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761634 (or 2761628 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 220929680 is about 14863.7034416057. The cubic root of 220929680 is about 604.5302274965.

The spelling of 220929680 in words is "two hundred twenty million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2761621 5523242 11046484 13808105 22092968 27616210 44185936 55232420 110464840 220929680