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2216681352 = 2332291061629
BaseRepresentation
bin1000010000011111…
…1101111110001000
312201111002002011100
42010013331332020
514014432300402
61003543101400
7105634323564
oct20407757610
95644062140
102216681352
11a38293566
1251a441860
13294322392
141705806a4
15ce91471c
hex841fdf88

2216681352 has 48 divisors (see below), whose sum is σ = 6210535500. Its totient is φ = 713414016.

The previous prime is 2216681339. The next prime is 2216681353. The reversal of 2216681352 is 2531866122.

2216681352 is a `hidden beast` number, since 221 + 6 + 6 + 81 + 352 = 666.

2216681352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1913712516 + 302968836 = 43746^2 + 17406^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2216681353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528727 + ... + 532902.

Almost surely, 22216681352 is an apocalyptic number.

It is an amenable number.

2216681352 is an abundant number, since it is smaller than the sum of its proper divisors (3993854148).

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

2216681352 is a wasteful number, since it uses less digits than its factorization.

2216681352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061670 (or 1061663 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2216681352 is about 47081.6455957096. The cubic root of 2216681352 is about 1303.8703890272.

The spelling of 2216681352 in words is "two billion, two hundred sixteen million, six hundred eighty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 1061629 2123258 3184887 4246516 6369774 8493032 9554661 12739548 19109322 25479096 30787241 38218644 61574482 76437288 92361723 123148964 184723446 246297928 277085169 369446892 554170338 738893784 1108340676 2216681352