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2201313632 = 25754093
BaseRepresentation
bin1000001100110101…
…0110000101100000
312200102011022121112
42003031112011200
514002014014012
61002233442452
7105356600000
oct20315260540
95612138545
102201313632
11a2a647571
12515270428
132910a155b
1416c500000
15cd3cb122
hex83356160

2201313632 has 72 divisors (see below), whose sum is σ = 5057334576. Its totient is φ = 943189632.

The previous prime is 2201313623. The next prime is 2201313637. The reversal of 2201313632 is 2363131022.

It is a junction number, because it is equal to n+sod(n) for n = 2201313598 and 2201313607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201313637) 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, 535778 + ... + 539870.

It is an arithmetic number, because the mean of its divisors is an integer number (70240758).

Almost surely, 22201313632 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 2201313632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528667288).

2201313632 is an abundant number, since it is smaller than the sum of its proper divisors (2856020944).

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

2201313632 is an frugal number, since it uses more digits than its factorization.

2201313632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 2201313632 is about 46918.1588726582. The cubic root of 2201313632 is about 1300.8502587612.

Adding to 2201313632 its reverse (2363131022), we get a palindrome (4564444654).

The spelling of 2201313632 in words is "two billion, two hundred one million, three hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2401 2744 4093 4802 5488 8186 9604 10976 16372 16807 19208 28651 32744 33614 38416 57302 65488 67228 76832 114604 130976 134456 200557 229208 268912 401114 458416 537824 802228 916832 1403899 1604456 2807798 3208912 5615596 6417824 9827293 11231192 19654586 22462384 39309172 44924768 68791051 78618344 137582102 157236688 275164204 314473376 550328408 1100656816 2201313632