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2242606446 = 23367641967
BaseRepresentation
bin1000010110101011…
…0111010101101110
312210021212012201000
42011222313111232
514043101401241
61010310501130
7106400561133
oct20552672556
95707765630
102242606446
11a50990463
125270647a6
132997cb682
14173bac58a
15d1d35eb6
hex85ab756e

2242606446 has 64 divisors (see below), whose sum is σ = 5071080960. Its totient is φ = 734469120.

The previous prime is 2242606411. The next prime is 2242606447. The reversal of 2242606446 is 6446062422.

2242606446 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 6 + 0 + 644 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2242606446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242606447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2318655 + ... + 2319621.

It is an arithmetic number, because the mean of its divisors is an integer number (79235640).

Almost surely, 22242606446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242606446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535540480).

2242606446 is an abundant number, since it is smaller than the sum of its proper divisors (2828474514).

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

2242606446 is a wasteful number, since it uses less digits than its factorization.

2242606446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2242606446 is about 47356.1658709824. The cubic root of 2242606446 is about 1308.9338188946.

Adding to 2242606446 its reverse (6446062422), we get a palindrome (8688668868).

The spelling of 2242606446 in words is "two billion, two hundred forty-two million, six hundred six thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 641 967 1206 1282 1809 1923 1934 2901 3618 3846 5769 5802 8703 11538 17307 17406 26109 34614 42947 52218 64789 85894 128841 129578 194367 257682 386523 388734 583101 619847 773046 1159569 1166202 1239694 1749303 1859541 2319138 3498606 3719082 5578623 11157246 16735869 33471738 41529749 83059498 124589247 249178494 373767741 747535482 1121303223 2242606446