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2230233012 = 2232743205817
BaseRepresentation
bin1000010011101110…
…1010011110110100
312202102120120112200
42010323222132310
514031414424022
61005145344500
7106160445030
oct20473523664
95672516480
102230233012
11a449aa087
12522a98130
13297088707
141722ab1c0
15d0bdebac
hex84eea7b4

2230233012 has 72 divisors (see below), whose sum is σ = 6592762176. Its totient is φ = 622387584.

The previous prime is 2230232987. The next prime is 2230233029. The reversal of 2230233012 is 2103320322.

It is a happy number.

2230233012 is a `hidden beast` number, since 22 + 302 + 330 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92073 + ... + 113744.

Almost surely, 22230233012 is an apocalyptic number.

It is an amenable number.

2230233012 is an abundant number, since it is smaller than the sum of its proper divisors (4362529164).

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

2230233012 is a wasteful number, since it uses less digits than its factorization.

2230233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205877 (or 205872 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2230233012 is about 47225.3428997609. The cubic root of 2230233012 is about 1306.5220590294.

Adding to 2230233012 its reverse (2103320322), we get a palindrome (4333553334).

The spelling of 2230233012 in words is "two billion, two hundred thirty million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 205817 411634 617451 823268 1234902 1440719 1852353 2469804 2881438 3704706 4322157 5762876 7409412 8644314 8850131 12966471 17288628 17700262 25932942 26550393 35400524 51865884 53100786 61950917 79651179 106201572 123901834 159302358 185852751 247803668 318604716 371705502 557558253 743411004 1115116506 2230233012