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2249623116 = 2232134806887
BaseRepresentation
bin1000011000010110…
…1000011001001100
312210210001200202200
42012011220121030
514101400414431
61011121121500
7106514323656
oct20605503114
95723050680
102249623116
11a54943164
12529489290
1329b0b7350
14174ab76d6
15d276eee6
hex8616864c

2249623116 has 36 divisors (see below), whose sum is σ = 6123975312. Its totient is φ = 692191584.

The previous prime is 2249623069. The next prime is 2249623139. The reversal of 2249623116 is 6113269422.

It is a happy number.

2249623116 is a `hidden beast` number, since 2 + 24 + 9 + 623 + 1 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2402976 + ... + 2403911.

Almost surely, 22249623116 is an apocalyptic number.

2249623116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2249623116 is an abundant number, since it is smaller than the sum of its proper divisors (3874352196).

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

2249623116 is a wasteful number, since it uses less digits than its factorization.

2249623116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806910 (or 4806905 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2249623116 is about 47430.1920299718. The cubic root of 2249623116 is about 1310.2975289079.

The spelling of 2249623116 in words is "two billion, two hundred forty-nine million, six hundred twenty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4806887 9613774 14420661 19227548 28841322 43261983 57682644 62489531 86523966 124979062 173047932 187468593 249958124 374937186 562405779 749874372 1124811558 2249623116