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2204641632 = 253233121039
BaseRepresentation
bin1000001101101000…
…0010100101100000
312200122102101202210
42003122002211200
514003342013012
61002433042120
7105430100424
oct20332024540
95618371683
102204641632
11a3150a986
125163b6340
1329199829b
1416cb28b84
15cd83723c
hex83682960

2204641632 has 144 divisors (see below), whose sum is σ = 6245890560. Its totient is φ = 679599360.

The previous prime is 2204641591. The next prime is 2204641657. The reversal of 2204641632 is 2361464022.

It is a self number, because there is not a number n which added to its sum of digits gives 2204641632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2121369 + ... + 2122407.

It is an arithmetic number, because the mean of its divisors is an integer number (43374240).

Almost surely, 22204641632 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 2204641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122945280).

2204641632 is an abundant number, since it is smaller than the sum of its proper divisors (4041248928).

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

2204641632 is a wasteful number, since it uses less digits than its factorization.

2204641632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2204641632 is about 46953.6114904913. The cubic root of 2204641632 is about 1301.5054811324.

The spelling of 2204641632 in words is "two billion, two hundred four million, six hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 961 992 1039 1104 1426 1488 1922 2078 2139 2208 2852 2883 2976 3117 3844 4156 4278 5704 5766 6234 7688 8312 8556 11408 11532 12468 15376 16624 17112 22103 22816 23064 23897 24936 30752 32209 33248 34224 44206 46128 47794 49872 64418 66309 68448 71691 88412 92256 95588 96627 99744 128836 132618 143382 176824 191176 193254 257672 265236 286764 353648 382352 386508 515344 530472 573528 707296 740807 764704 773016 998479 1030688 1060944 1147056 1481614 1546032 1996958 2121888 2222421 2294112 2963228 2995437 3092064 3993916 4444842 5926456 5990874 7987832 8889684 11852912 11981748 15975664 17779368 22965017 23705824 23963496 31951328 35558736 45930034 47926992 68895051 71117472 91860068 95853984 137790102 183720136 275580204 367440272 551160408 734880544 1102320816 2204641632