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2223045640 = 23573210429
BaseRepresentation
bin1000010010000000…
…1111110000001000
312201221001102022201
42010200033300020
514023044430030
61004331325544
7106042401424
oct20440176010
95657042281
102223045640
11a40940102
125205b08b4
1329574012a
14171359b84
15d02702ca
hex8480fc08

2223045640 has 48 divisors (see below), whose sum is σ = 5071796100. Its totient is φ = 876953088.

The previous prime is 2223045607. The next prime is 2223045659. The reversal of 2223045640 is 465403222.

It can be written as a sum of positive squares in 6 ways, for example, as 1811523844 + 411521796 = 42562^2 + 20286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2223045599 and 2223045608.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207946 + ... + 218374.

Almost surely, 22223045640 is an apocalyptic number.

2223045640 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 2223045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535898050).

2223045640 is an abundant number, since it is smaller than the sum of its proper divisors (2848750460).

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

2223045640 is a wasteful number, since it uses less digits than its factorization.

2223045640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10586 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2223045640 is about 47149.1849346306. The cubic root of 2223045640 is about 1305.1170390668.

Adding to 2223045640 its reverse (465403222), we get a palindrome (2688448862).

The spelling of 2223045640 in words is "two billion, two hundred twenty-three million, forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 5329 10429 10658 20858 21316 26645 41716 42632 52145 53290 83432 104290 106580 208580 213160 417160 761317 1522634 3045268 3806585 6090536 7613170 15226340 30452680 55576141 111152282 222304564 277880705 444609128 555761410 1111522820 2223045640