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2263513240 = 235412834877
BaseRepresentation
bin1000011011101010…
…0111100010011000
312211202012101102201
42012322213202120
514113424410430
61012334535544
7110043354652
oct20672474230
95752171381
102263513240
11a6176aaaa
125320675b4
132a0c3b761
141768916d2
15d3ab58ca
hex86ea7898

2263513240 has 64 divisors (see below), whose sum is σ = 5236630560. Its totient is φ = 880020480.

The previous prime is 2263513207. The next prime is 2263513277. The reversal of 2263513240 is 423153622.

It is a junction number, because it is equal to n+sod(n) for n = 2263513199 and 2263513208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461682 + ... + 466558.

Almost surely, 22263513240 is an apocalyptic number.

2263513240 is a gapful number since it is divisible by the number (20) 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 2263513240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618315280).

2263513240 is an abundant number, since it is smaller than the sum of its proper divisors (2973117320).

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

2263513240 is a wasteful number, since it uses less digits than its factorization.

2263513240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2263513240 is about 47576.3937263009. The cubic root of 2263513240 is about 1312.9887744508.

Adding to 2263513240 its reverse (423153622), we get a palindrome (2686666862).

The spelling of 2263513240 in words is "two billion, two hundred sixty-three million, five hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 283 328 410 566 820 1132 1415 1640 2264 2830 4877 5660 9754 11320 11603 19508 23206 24385 39016 46412 48770 58015 92824 97540 116030 195080 199957 232060 399914 464120 799828 999785 1380191 1599656 1999570 2760382 3999140 5520764 6900955 7998280 11041528 13801910 27603820 55207640 56587831 113175662 226351324 282939155 452702648 565878310 1131756620 2263513240