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2193874092 = 2233312412719
BaseRepresentation
bin1000001011000011…
…1101110010101100
312122220011100111000
42002300331302230
513443112432332
61001410200300
7105236423244
oct20260756254
95586140430
102193874092
11a26426093
12512883090
1328c698267
1416b524b24
15cc90bb7c
hex82c3dcac

2193874092 has 96 divisors (see below), whose sum is σ = 5897830400. Its totient is φ = 704505600.

The previous prime is 2193874079. The next prime is 2193874093. The reversal of 2193874092 is 2904783912.

It is not an unprimeable number, because it can be changed into a prime (2193874093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805509 + ... + 808227.

Almost surely, 22193874092 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 2193874092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948915200).

2193874092 is an abundant number, since it is smaller than the sum of its proper divisors (3703956308).

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

2193874092 is a wasteful number, since it uses less digits than its factorization.

2193874092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2193874092 is about 46838.8096774459. The cubic root of 2193874092 is about 1299.3831574567.

The spelling of 2193874092 in words is "two billion, one hundred ninety-three million, eight hundred seventy-four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 241 279 372 482 558 723 837 964 1116 1446 1674 2169 2719 2892 3348 4338 5438 6507 7471 8157 8676 10876 13014 14942 16314 22413 24471 26028 29884 32628 44826 48942 67239 73413 84289 89652 97884 134478 146826 168578 201717 252867 268956 293652 337156 403434 505734 655279 758601 806868 1011468 1310558 1517202 1965837 2275803 2621116 3034404 3931674 4551606 5897511 7863348 9103212 11795022 17692533 20313649 23590044 35385066 40627298 60940947 70770132 81254596 121881894 182822841 243763788 365645682 548468523 731291364 1096937046 2193874092