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2269312332 = 2237139263739
BaseRepresentation
bin1000011101000010…
…1111010101001100
312212011010000021220
42013100233111030
514121420443312
61013103123340
7110143556640
oct20720572514
95764100256
102269312332
11a64a70a41
12533ba3550
132a21bc181
14177560c20
15d435dc8c
hex8742f54c

2269312332 has 96 divisors (see below), whose sum is σ = 6126489600. Its totient is φ = 640395072.

The previous prime is 2269312307. The next prime is 2269312343. The reversal of 2269312332 is 2332139622.

It is a junction number, because it is equal to n+sod(n) for n = 2269312293 and 2269312302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3070419 + ... + 3071157.

It is an arithmetic number, because the mean of its divisors is an integer number (63817600).

Almost surely, 22269312332 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 2269312332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063244800).

2269312332 is an abundant number, since it is smaller than the sum of its proper divisors (3857177268).

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

2269312332 is a wasteful number, since it uses less digits than its factorization.

2269312332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1153 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 2269312332 is about 47637.2997975326. The cubic root of 2269312332 is about 1314.1091050586.

The spelling of 2269312332 in words is "two billion, two hundred sixty-nine million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 263 278 417 526 556 739 789 834 973 1052 1478 1578 1668 1841 1946 2217 2919 2956 3156 3682 3892 4434 5173 5523 5838 7364 8868 10346 11046 11676 15519 20692 22092 31038 36557 62076 73114 102721 109671 146228 194357 205442 219342 255899 308163 388714 410884 438684 511798 583071 616326 719047 767697 777428 1023596 1166142 1232652 1360499 1438094 1535394 2157141 2332284 2720998 2876188 3070788 4081497 4314282 5441996 8162994 8628564 16325988 27015623 54031246 81046869 108062492 162093738 189109361 324187476 378218722 567328083 756437444 1134656166 2269312332