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2269364832 = 25327322973
BaseRepresentation
bin1000011101000011…
…1100001001100000
312212011012200022100
42013100330021200
514121424133312
61013104210400
7110144166000
oct20720741140
95764180270
102269364832
11a64aa7429
12534009a00
132a220a037
14177576000
15d436e5dc
hex8743c260

2269364832 has 144 divisors (see below), whose sum is σ = 7526282400. Its totient is φ = 648361728.

The previous prime is 2269364777. The next prime is 2269364857. The reversal of 2269364832 is 2384639622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87298 + ... + 110270.

It is an arithmetic number, because the mean of its divisors is an integer number (52265850).

Almost surely, 22269364832 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 2269364832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763141200).

2269364832 is an abundant number, since it is smaller than the sum of its proper divisors (5256917568).

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

2269364832 is a wasteful number, since it uses less digits than its factorization.

2269364832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23010 (or 22985 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2269364832 is about 47637.8508331348. The cubic root of 2269364832 is about 1314.1192388475.

The spelling of 2269364832 in words is "two billion, two hundred sixty-nine million, three hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10976 12348 14112 16464 22973 24696 32928 45946 49392 68919 91892 98784 137838 160811 183784 206757 275676 321622 367568 413514 482433 551352 643244 735136 827028 964866 1102704 1125677 1286488 1447299 1654056 1929732 2205408 2251354 2572976 2894598 3308112 3377031 3859464 4502708 5145952 5789196 6616224 6754062 7718928 7879739 9005416 10131093 11578392 13508124 15437856 15759478 18010832 20262186 23156784 23639217 27016248 31518956 36021664 40524372 46313568 47278434 54032496 63037912 70917651 81048744 94556868 108064992 126075824 141835302 162097488 189113736 252151648 283670604 324194976 378227472 567341208 756454944 1134682416 2269364832