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2123443212 = 22311791571297
BaseRepresentation
bin111111010010001…
…0010110000001100
312110222122002110220
41332210102300030
513322100140322
6550412431340
7103422653352
oct17644226014
95428562426
102123443212
1199a6a0350
124b3178550
1327ac08597
1416202d7d2
15c664855c
hex7e912c0c

2123443212 has 96 divisors (see below), whose sum is σ = 5512657920. Its totient is φ = 630789120.

The previous prime is 2123443193. The next prime is 2123443219.

It is a happy number.

2123443212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21234432122 = 9018022149177753888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2123443219) 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, 1636548 + ... + 1637844.

It is an arithmetic number, because the mean of its divisors is an integer number (57423520).

Almost surely, 22123443212 is an apocalyptic number.

2123443212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123443212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756328960).

2123443212 is an abundant number, since it is smaller than the sum of its proper divisors (3389214708).

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

2123443212 is a wasteful number, since it uses less digits than its factorization.

2123443212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1549 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2123443212 is about 46080.8334560042. The cubic root of 2123443212 is about 1285.3267625253.

It can be divided in two parts, 21234 and 43212, that added together give a palindrome (64446).

The spelling of 2123443212 in words is "two billion, one hundred twenty-three million, four hundred forty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 157 158 237 314 316 471 474 628 869 942 948 1297 1727 1738 1884 2594 2607 3454 3476 3891 5181 5188 5214 6908 7782 10362 10428 12403 14267 15564 20724 24806 28534 37209 42801 49612 57068 74418 85602 102463 136433 148836 171204 203629 204926 272866 307389 407258 409299 409852 545732 610887 614778 814516 818598 1127093 1221774 1229556 1637196 2239919 2254186 2443548 3381279 4479838 4508372 6719757 6762558 8959676 13439514 13525116 16086691 26879028 32173382 48260073 64346764 96520146 176953601 193040292 353907202 530860803 707814404 1061721606 2123443212