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2241223152 = 243721756053
BaseRepresentation
bin1000010110010110…
…0101100111110000
312210012020221011220
42011211211213300
514042223120102
61010221105040
7106353040200
oct20545454760
95705227156
102241223152
11a50126143
125266b8180
13299435b5c
1417392c400
15d1b611bc
hex859659f0

2241223152 has 120 divisors (see below), whose sum is σ = 7131414096. Its totient is φ = 602671104.

The previous prime is 2241223091. The next prime is 2241223157. The reversal of 2241223152 is 2513221422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241223157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11958 + ... + 68010.

Almost surely, 22241223152 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 2241223152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565707048).

2241223152 is an abundant number, since it is smaller than the sum of its proper divisors (4890190944).

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

2241223152 is a wasteful number, since it uses less digits than its factorization.

2241223152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56095 (or 56082 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2241223152 is about 47341.5584027396. The cubic root of 2241223152 is about 1308.6646361748.

Adding to 2241223152 its reverse (2513221422), we get a palindrome (4754444574).

The spelling of 2241223152 in words is "two billion, two hundred forty-one million, two hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5712 6664 9996 13328 19992 39984 56053 112106 168159 224212 336318 392371 448424 672636 784742 896848 952901 1177113 1345272 1569484 1905802 2354226 2690544 2746597 2858703 3138968 3811604 4708452 5493194 5717406 6277936 6670307 7623208 8239791 9416904 10986388 11434812 13340614 15246416 16479582 18833808 20010921 21972776 22869624 26681228 32959164 40021842 43945552 45739248 46692149 53362456 65918328 80043684 93384298 106724912 131836656 140076447 160087368 186768596 280152894 320174736 373537192 560305788 747074384 1120611576 2241223152