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2263135212 = 22321319724547
BaseRepresentation
bin1000011011100100…
…1011001111101100
312211201111011212200
42012321023033230
514113330311322
61012322501500
7110040221562
oct20671131754
95751434780
102263135212
11a61531a88
12531b04890
132a0b38680
141767d3a32
15d3a3d8ac
hex86e4b3ec

2263135212 has 72 divisors (see below), whose sum is σ = 6192282096. Its totient is φ = 692786304.

The previous prime is 2263135103. The next prime is 2263135213. The reversal of 2263135212 is 2125313622.

It is a happy number.

2263135212 is a `hidden beast` number, since 2 + 2 + 631 + 3 + 5 + 21 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2263135213) by changing a digit.

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, 79923 + ... + 104469.

It is an arithmetic number, because the mean of its divisors is an integer number (86003918).

Almost surely, 22263135212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263135212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096141048).

2263135212 is an abundant number, since it is smaller than the sum of its proper divisors (3929146884).

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

2263135212 is a wasteful number, since it uses less digits than its factorization.

2263135212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24767 (or 24762 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2263135212 is about 47572.4207078009. The cubic root of 2263135212 is about 1312.9156765566.

Adding to 2263135212 its reverse (2125313622), we get a palindrome (4388448834).

The spelling of 2263135212 in words is "two billion, two hundred sixty-three million, one hundred thirty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 197 234 394 468 591 788 1182 1773 2364 2561 3546 5122 7092 7683 10244 15366 23049 24547 30732 46098 49094 73641 92196 98188 147282 220923 294564 319111 441846 638222 883692 957333 1276444 1914666 2871999 3829332 4835759 5743998 9671518 11487996 14507277 19343036 29014554 43521831 58029108 62864867 87043662 125729734 174087324 188594601 251459468 377189202 565783803 754378404 1131567606 2263135212