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2204197296 = 243719379911
BaseRepresentation
bin1000001101100001…
…0110000110110000
312200121120211020220
42003120112012300
514003233303141
61002415333040
7105423240120
oct20330260660
95617524226
102204197296
11a31237064
12516221180
13291870c72
1416ca50c80
15cd79a766
hex836161b0

2204197296 has 160 divisors (see below), whose sum is σ = 6875750400. Its totient is φ = 594397440.

The previous prime is 2204197273. The next prime is 2204197297. The reversal of 2204197296 is 6927914022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2204197297) 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, 2419081 + ... + 2419991.

It is an arithmetic number, because the mean of its divisors is an integer number (42973440).

Almost surely, 22204197296 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 2204197296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437875200).

2204197296 is an abundant number, since it is smaller than the sum of its proper divisors (4671553104).

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

2204197296 is a wasteful number, since it uses less digits than its factorization.

2204197296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2204197296 is about 46948.8796032451. The cubic root of 2204197296 is about 1301.4180376545.

The spelling of 2204197296 in words is "two billion, two hundred four million, one hundred ninety-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 379 399 456 532 758 798 911 912 1064 1137 1516 1596 1822 2128 2274 2653 2733 3032 3192 3644 4548 5306 5466 6064 6377 6384 7201 7288 7959 9096 10612 10932 12754 14402 14576 15918 17309 18192 19131 21224 21603 21864 25508 28804 31836 34618 38262 42448 43206 43728 50407 51016 51927 57608 63672 69236 76524 86412 100814 102032 103854 115216 121163 127344 138472 151221 153048 172824 201628 207708 242326 276944 302442 306096 345269 345648 363489 403256 415416 484652 604884 690538 726978 806512 830832 969304 1035807 1209768 1381076 1453956 1938608 2071614 2416883 2419536 2762152 2907912 4143228 4833766 5524304 5815824 6560111 7250649 8286456 9667532 13120222 14501298 16572912 19335064 19680333 26240444 29002596 38670128 39360666 45920777 52480888 58005192 78721332 91841554 104961776 116010384 137762331 157442664 183683108 275524662 314885328 367366216 551049324 734732432 1102098648 2204197296