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2209807040 = 26573472843
BaseRepresentation
bin1000001110110110…
…1111101011000000
312201000010211101012
42003231233223000
514011202311130
61003135500052
7105522023060
oct20355575300
95630124335
102209807040
11a34418811
12518087628
13292a8643c
1416d6b13a0
15ce007995
hex83b6fac0

2209807040 has 112 divisors (see below), whose sum is σ = 6033284352. Its totient is φ = 755198976.

The previous prime is 2209807013. The next prime is 2209807043. The reversal of 2209807040 is 407089022.

2209807040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2209806988 and 2209807006.

It is not an unprimeable number, because it can be changed into a prime (2209807043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775859 + ... + 778701.

Almost surely, 22209807040 is an apocalyptic number.

2209807040 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 2209807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016642176).

2209807040 is an abundant number, since it is smaller than the sum of its proper divisors (3823477312).

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

2209807040 is a wasteful number, since it uses less digits than its factorization.

2209807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2209807040 is about 47008.5847478947. The cubic root of 2209807040 is about 1302.5211508459.

The spelling of 2209807040 in words is "two billion, two hundred nine million, eight hundred seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 347 448 560 694 1120 1388 1735 2240 2429 2776 2843 3470 4858 5552 5686 6940 9716 11104 11372 12145 13880 14215 19432 19901 22208 22744 24290 27760 28430 38864 39802 45488 48580 55520 56860 77728 79604 90976 97160 99505 111040 113720 155456 159208 181952 194320 199010 227440 318416 388640 398020 454880 636832 777280 796040 909760 986521 1273664 1592080 1973042 3184160 3946084 4932605 6368320 6905647 7892168 9865210 13811294 15784336 19730420 27622588 31568672 34528235 39460840 55245176 63137344 69056470 78921680 110490352 138112940 157843360 220980704 276225880 315686720 441961408 552451760 1104903520 2209807040