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2224031004 = 2232136077829
BaseRepresentation
bin1000010010010000…
…0000010100011100
312201222220110222200
42010210000110130
514023322443004
61004404411500
7106053644256
oct20444002434
95658813880
102224031004
11a41453458
125209a6b90
132959c67a0
14171534cd6
15d03b7239
hex8490051c

2224031004 has 72 divisors (see below), whose sum is σ = 6065055360. Its totient is φ = 683102592.

The previous prime is 2224030999. The next prime is 2224031041. The reversal of 2224031004 is 4001304222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280162 + ... + 287990.

It is an arithmetic number, because the mean of its divisors is an integer number (84236880).

Almost surely, 22224031004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224031004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032527680).

2224031004 is an abundant number, since it is smaller than the sum of its proper divisors (3841024356).

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

2224031004 is a wasteful number, since it uses less digits than its factorization.

2224031004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2224031004 is about 47159.6332046805. The cubic root of 2224031004 is about 1305.3098414338.

Adding to 2224031004 its reverse (4001304222), we get a palindrome (6225335226).

The spelling of 2224031004 in words is "two billion, two hundred twenty-four million, thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 607 1214 1821 2428 3642 5463 7284 7829 7891 10926 15658 15782 21852 23487 23673 31316 31564 46974 47346 70461 71019 93948 94692 101777 140922 142038 203554 281844 284076 305331 407108 610662 915993 1221324 1831986 3663972 4752203 9504406 14256609 19008812 28513218 42769827 57026436 61778639 85539654 123557278 171079308 185335917 247114556 370671834 556007751 741343668 1112015502 2224031004