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2231233032 = 233721979631
BaseRepresentation
bin1000010011111101…
…1110101000001000
312202111110101022110
42010333132220020
514032143424112
61005223022320
7106202111400
oct20477365010
95674411273
102231233032
11a45522446
1252329a9a0
13297348942
1417248b800
15d0d3b13c
hex84fdea08

2231233032 has 96 divisors (see below), whose sum is σ = 6522405120. Its totient is φ = 634193280.

The previous prime is 2231233009. The next prime is 2231233057. The reversal of 2231233032 is 2303321322.

It is a super-3 number, since 3×22312330323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 226857 + ... + 236487.

It is an arithmetic number, because the mean of its divisors is an integer number (67941720).

Almost surely, 22231233032 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 2231233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261202560).

2231233032 is an abundant number, since it is smaller than the sum of its proper divisors (4291172088).

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

2231233032 is a wasteful number, since it uses less digits than its factorization.

2231233032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2231233032 is about 47235.9294605282. The cubic root of 2231233032 is about 1306.7173081280.

Adding to 2231233032 its reverse (2303321322), we get a palindrome (4534554354).

The spelling of 2231233032 in words is "two billion, two hundred thirty-one million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 197 294 392 394 588 591 788 1176 1182 1379 1576 2364 2758 4137 4728 5516 8274 9631 9653 11032 16548 19262 19306 28893 28959 33096 38524 38612 57786 57918 67417 77048 77224 115572 115836 134834 202251 231144 231672 269668 404502 471919 539336 809004 943838 1415757 1618008 1887676 1897307 2831514 3775352 3794614 5663028 5691921 7589228 11326056 11383842 13281149 15178456 22767684 26562298 39843447 45535368 53124596 79686894 92968043 106249192 159373788 185936086 278904129 318747576 371872172 557808258 743744344 1115616516 2231233032