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2240250640 = 245532831867
BaseRepresentation
bin1000010110000111…
…1000001100010000
312210010102112010221
42011201320030100
514042001010030
61010144202424
7106341546655
oct20541701420
95703375127
102240250640
11a4a621511
12526309414
132991852c4
14173757c2c
15d1a1ce7a
hex85878310

2240250640 has 80 divisors (see below), whose sum is σ = 5328462528. Its totient is φ = 875616768.

The previous prime is 2240250631. The next prime is 2240250673. The reversal of 2240250640 is 460520422.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1198987 + ... + 1200853.

Almost surely, 22240250640 is an apocalyptic number.

2240250640 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 2240250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664231264).

2240250640 is an abundant number, since it is smaller than the sum of its proper divisors (3088211888).

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

2240250640 is a wasteful number, since it uses less digits than its factorization.

2240250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2240250640 is about 47331.2860590117. The cubic root of 2240250640 is about 1308.4753234494.

The spelling of 2240250640 in words is "two billion, two hundred forty million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 283 424 530 566 848 1060 1132 1415 1867 2120 2264 2830 3734 4240 4528 5660 7468 9335 11320 14936 14999 18670 22640 29872 29998 37340 59996 74680 74995 98951 119992 149360 149990 197902 239984 299980 395804 494755 528361 599960 791608 989510 1056722 1199920 1583216 1979020 2113444 2641805 3958040 4226888 5283610 7916080 8453776 10567220 21134440 28003133 42268880 56006266 112012532 140015665 224025064 280031330 448050128 560062660 1120125320 2240250640