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2260901632 = 28117910163
BaseRepresentation
bin1000011011000010…
…1001111100000000
312211120021200222111
42012300221330000
514112242323012
61012202545104
7110012226643
oct20660517400
95746250874
102260901632
11a60246950
12531208194
132a0535b22
141763b1a5a
15d374bba7
hex86c29f00

2260901632 has 72 divisors (see below), whose sum is σ = 4986051840. Its totient is φ = 1014574080.

The previous prime is 2260901623. The next prime is 2260901651. The reversal of 2260901632 is 2361090622.

It is a super-2 number, since 2×22609016322 = 10223352379160526848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2260901594 and 2260901603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217383 + ... + 227545.

It is an arithmetic number, because the mean of its divisors is an integer number (69250720).

Almost surely, 22260901632 is an apocalyptic number.

2260901632 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 2260901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493025920).

2260901632 is an abundant number, since it is smaller than the sum of its proper divisors (2725150208).

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

2260901632 is a wasteful number, since it uses less digits than its factorization.

2260901632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 2260901632 is about 47548.9393362249. The cubic root of 2260901632 is about 1312.4836111272.

It can be divided in two parts, 226090 and 1632, that added together give a palindrome (227722).

The spelling of 2260901632 in words is "two billion, two hundred sixty million, nine hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 256 316 352 632 704 869 1264 1408 1738 2528 2816 3476 5056 6952 10112 10163 13904 20224 20326 27808 40652 55616 81304 111232 111793 162608 222464 223586 325216 447172 650432 802877 894344 1300864 1605754 1788688 2601728 3211508 3577376 6423016 7154752 8831647 12846032 14309504 17663294 25692064 28619008 35326588 51384128 70653176 102768256 141306352 205536512 282612704 565225408 1130450816 2260901632