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2202103296 = 29321728111
BaseRepresentation
bin1000001101000001…
…0110111000000000
312200110122102211100
42003100112320000
514002214301141
61002302414400
7105366366141
oct20320267000
95613572740
102202103296
11a30036888
12515591400
132912b9b03
1416c667ac8
15cd4d50b6
hex83416e00

2202103296 has 120 divisors (see below), whose sum is σ = 6729506784. Its totient is φ = 690831360.

The previous prime is 2202103291. The next prime is 2202103349. The reversal of 2202103296 is 6923012022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202103291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64281 + ... + 92391.

Almost surely, 22202103296 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 2202103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364753392).

2202103296 is an abundant number, since it is smaller than the sum of its proper divisors (4527403488).

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

2202103296 is a wasteful number, since it uses less digits than its factorization.

2202103296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28152 (or 28133 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2202103296 is about 46926.5734525759. The cubic root of 2202103296 is about 1301.0057888952.

The spelling of 2202103296 in words is "two billion, two hundred two million, one hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8704 9792 13056 19584 26112 28111 39168 56222 78336 84333 112444 168666 224888 252999 337332 449776 477887 505998 674664 899552 955774 1011996 1349328 1433661 1799104 1911548 2023992 2698656 2867322 3598208 3823096 4047984 4300983 5397312 5734644 7196416 7646192 8095968 8601966 10794624 11469288 14392832 15292384 16191936 17203932 21589248 22938576 30584768 32383872 34407864 43178496 45877152 61169536 64767744 68815728 91754304 122339072 129535488 137631456 183508608 244678144 275262912 367017216 550525824 734034432 1101051648 2202103296