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2193166272 = 263116611571
BaseRepresentation
bin1000001010111001…
…0000111111000000
312122211211101112110
42002232100333000
513442422310042
61001343055320
7105230414523
oct20256207700
95584741473
102193166272
11a25a92310
125125a1540
1328c4ab02b
1416b3bcbba
15cc81c09c
hex82b90fc0

2193166272 has 112 divisors (see below), whose sum is σ = 6343887744. Its totient is φ = 663168000.

The previous prime is 2193166271. The next prime is 2193166291. The reversal of 2193166272 is 2726613912.

It is a self number, because there is not a number n which added to its sum of digits gives 2193166272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193166271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395247 + ... + 1396817.

Almost surely, 22193166272 is an apocalyptic number.

2193166272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171943872).

2193166272 is an abundant number, since it is smaller than the sum of its proper divisors (4150721472).

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

2193166272 is a wasteful number, since it uses less digits than its factorization.

2193166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2248 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 2193166272 is about 46831.2531542772. The cubic root of 2193166272 is about 1299.2434003758.

The spelling of 2193166272 in words is "two billion, one hundred ninety-three million, one hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 661 704 1056 1322 1571 1983 2112 2644 3142 3966 4713 5288 6284 7271 7932 9426 10576 12568 14542 15864 17281 18852 21152 21813 25136 29084 31728 34562 37704 42304 43626 50272 51843 58168 63456 69124 75408 87252 100544 103686 116336 126912 138248 150816 174504 207372 232672 276496 301632 349008 414744 465344 552992 698016 829488 1038431 1105984 1396032 1658976 2076862 3115293 3317952 4153724 6230586 8307448 11422741 12461172 16614896 22845482 24922344 33229792 34268223 45690964 49844688 66459584 68536446 91381928 99689376 137072892 182763856 199378752 274145784 365527712 548291568 731055424 1096583136 2193166272