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2240226640 = 24597288689
BaseRepresentation
bin1000010110000111…
…0010010101010000
312210010101022020001
42011201302111100
514041444223030
61010143455344
7106341420001
oct20541622520
95703338201
102240226640
11a4a605483
125262b7554
132991773c2
1417374d1a8
15d1a15cca
hex85872550

2240226640 has 40 divisors (see below), whose sum is σ = 5262241320. Its totient is φ = 886849536.

The previous prime is 2240226607. The next prime is 2240226641. The reversal of 2240226640 is 466220422.

It can be written as a sum of positive squares in 4 ways, for example, as 273836304 + 1966390336 = 16548^2 + 44344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2240226599 and 2240226608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240226641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136585 + ... + 152104.

It is an arithmetic number, because the mean of its divisors is an integer number (131556033).

Almost surely, 22240226640 is an apocalyptic number.

2240226640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240226640 is an abundant number, since it is smaller than the sum of its proper divisors (3022014680).

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

2240226640 is a wasteful number, since it uses less digits than its factorization.

2240226640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288799 (or 288793 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2240226640 is about 47331.0325262401. The cubic root of 2240226640 is about 1308.4706508294.

The spelling of 2240226640 in words is "two billion, two hundred forty million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 288689 577378 1154756 1443445 2309512 2886890 4619024 5773780 11547560 23095120 28002833 56005666 112011332 140014165 224022664 280028330 448045328 560056660 1120113320 2240226640