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132223020444 = 2232173156312379
BaseRepresentation
bin111101100100100011…
…0110010110110011100
3110122021211221101101100
41323021012302312130
54131243043123234
6140424210113100
712360416062344
oct1731106626634
9418254841340
10132223020444
11510914a2309
122176127b790
13c612606348
146584819d24
15368d0cb399
hex1ec91b2d9c

132223020444 has 144 divisors (see below), whose sum is σ = 365985285120. Its totient is φ = 40069071360.

The previous prime is 132223020443. The next prime is 132223020487. The reversal of 132223020444 is 444020322231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223020443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10675047 + ... + 10687425.

It is an arithmetic number, because the mean of its divisors is an integer number (2541564480).

Almost surely, 2132223020444 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 132223020444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182992642560).

132223020444 is an abundant number, since it is smaller than the sum of its proper divisors (233762264676).

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

132223020444 is a wasteful number, since it uses less digits than its factorization.

132223020444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13000 (or 12995 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 132223020444 its reverse (444020322231), we get a palindrome (576243342675).

The spelling of 132223020444 in words is "one hundred thirty-two billion, two hundred twenty-three million, twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 563 612 1054 1116 1126 1581 1689 2108 2252 3162 3378 4743 5067 6324 6756 9486 9571 10134 12379 17453 18972 19142 20268 24758 28713 34906 37137 38284 49516 52359 57426 69812 74274 86139 104718 111411 114852 148548 157077 172278 209436 210443 222822 296701 314154 344556 383749 420886 445644 593402 628308 631329 767498 841772 890103 1151247 1186804 1262658 1534996 1780206 1893987 2302494 2525316 2670309 3453741 3560412 3787974 4604988 5340618 6523733 6907482 6969377 7575948 10681236 13047466 13814964 13938754 19571199 20908131 26094932 27877508 39142398 41816262 58713597 62724393 78284796 83632524 117427194 118479409 125448786 216050687 234854388 236958818 250897572 355438227 432101374 473917636 648152061 710876454 864202748 1066314681 1296304122 1421752908 1944456183 2132629362 2592608244 3672861679 3888912366 4265258724 7345723358 7777824732 11018585037 14691446716 22037170074 33055755111 44074340148 66111510222 132223020444