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2224088680 = 2351110150047
BaseRepresentation
bin1000010010010000…
…1110011001101000
312202000000102002211
42010210032121220
514023331314210
61004405534504
7106054304362
oct20444163150
95660012084
102224088680
11a41492820
12520a14434
13295a16b08
1417154bd32
15d03c938a
hex8490e668

2224088680 has 64 divisors (see below), whose sum is σ = 5513287680. Its totient is φ = 800736000.

The previous prime is 2224088641. The next prime is 2224088687. The reversal of 2224088680 is 868804222.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2224088687) 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, 19417 + ... + 69463.

It is an arithmetic number, because the mean of its divisors is an integer number (86145120).

Almost surely, 22224088680 is an apocalyptic number.

2224088680 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 2224088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756643840).

2224088680 is an abundant number, since it is smaller than the sum of its proper divisors (3289199000).

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

2224088680 is a wasteful number, since it uses less digits than its factorization.

2224088680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50170 (or 50166 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 2224088680 is about 47160.2446982625. The cubic root of 2224088680 is about 1305.3211249096.

The spelling of 2224088680 in words is "two billion, two hundred twenty-four million, eighty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 50047 100094 200188 250235 400376 500470 550517 1000940 1101034 2001880 2202068 2752585 4404136 5054747 5505170 10109494 11010340 20218988 22020680 25273735 40437976 50547470 55602217 101094940 111204434 202189880 222408868 278011085 444817736 556022170 1112044340 2224088680