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2193677136 = 2432711319259
BaseRepresentation
bin1000001011000000…
…1101101101010000
312122212210100022100
42002300031231100
513443040132021
61001402040400
7105234643110
oct20260155520
95585710270
102193677136
11a26301112
125127a9100
1328c629711
1416b4b3040
15cc8bd626
hex82c0db50

2193677136 has 120 divisors (see below), whose sum is σ = 7078743360. Its totient is φ = 621186048.

The previous prime is 2193677071. The next prime is 2193677147. The reversal of 2193677136 is 6317763912.

2193677136 is a `hidden beast` number, since 219 + 367 + 71 + 3 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2193677091 and 2193677100.

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, 104275 + ... + 123533.

It is an arithmetic number, because the mean of its divisors is an integer number (58989528).

Almost surely, 22193677136 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 2193677136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539371680).

2193677136 is an abundant number, since it is smaller than the sum of its proper divisors (4885066224).

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

2193677136 is a wasteful number, since it uses less digits than its factorization.

2193677136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19393 (or 19384 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 2193677136 is about 46836.7071430091. The cubic root of 2193677136 is about 1299.3442720638.

The spelling of 2193677136 in words is "two billion, one hundred ninety-three million, six hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 904 1008 1017 1356 1582 1808 2034 2373 2712 3164 4068 4746 5424 6328 7119 8136 9492 12656 14238 16272 18984 19259 28476 37968 38518 56952 57777 77036 113904 115554 134813 154072 173331 231108 269626 308144 346662 404439 462216 539252 693324 808878 924432 1078504 1213317 1386648 1617756 2157008 2176267 2426634 2773296 3235512 4352534 4853268 6471024 6528801 8705068 9706536 13057602 15233869 17410136 19413072 19586403 26115204 30467738 34820272 39172806 45701607 52230408 60935476 78345612 91403214 104460816 121870952 137104821 156691224 182806428 243741904 274209642 313382448 365612856 548419284 731225712 1096838568 2193677136