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2231201312 = 2517191391553
BaseRepresentation
bin1000010011111101…
…0110111000100000
312202111101202210122
42010333112320200
514032141420222
61005222215412
7106201620044
oct20477267040
95674352718
102231201312
11a4550062a
12523284568
13297337382
14172480024
15d0d31a42
hex84fd6e20

2231201312 has 96 divisors (see below), whose sum is σ = 4934260800. Its totient is φ = 986923008.

The previous prime is 2231201309. The next prime is 2231201321. The reversal of 2231201312 is 2131021322.

It is a super-3 number, since 3×22312013123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1435928 + ... + 1437480.

It is an arithmetic number, because the mean of its divisors is an integer number (51398550).

Almost surely, 22231201312 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 2231201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467130400).

2231201312 is an abundant number, since it is smaller than the sum of its proper divisors (2703059488).

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

2231201312 is a wasteful number, since it uses less digits than its factorization.

2231201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2231201312 is about 47235.5936979731. The cubic root of 2231201312 is about 1306.7111158465.

Adding to 2231201312 its reverse (2131021322), we get a palindrome (4362222634).

The spelling of 2231201312 in words is "two billion, two hundred thirty-one million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 139 152 272 278 304 323 544 556 608 646 1112 1292 1553 2224 2363 2584 2641 3106 4448 4726 5168 5282 6212 9452 10336 10564 12424 18904 21128 24848 26401 29507 37808 42256 44897 49696 52802 59014 75616 84512 89794 105604 118028 179588 211208 215867 236056 359176 422416 431734 472112 501619 718352 844832 863468 944224 1003238 1436704 1726936 2006476 3453872 3669739 4012952 4101473 6907744 7339478 8025904 8202946 14678956 16051808 16405892 29357912 32811784 58715824 65623568 69725041 117431648 131247136 139450082 278900164 557800328 1115600656 2231201312