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2023116732 = 22327131932503
BaseRepresentation
bin111100010010110…
…0100111110111100
312012222211222102100
41320211210332330
513120404213412
6532430225100
7101064131340
oct17045447674
95188758370
102023116732
11948aa65aa
12485655190
132631ac2c0
14152995620
15bc92bedc
hex78964fbc

2023116732 has 144 divisors (see below), whose sum is σ = 6625615360. Its totient is φ = 505471104.

The previous prime is 2023116727. The next prime is 2023116749. The reversal of 2023116732 is 2376113202.

It is a super-2 number, since 2×20231167322 = 8186002622596719648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023116696 and 2023116705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45993 + ... + 78495.

Almost surely, 22023116732 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 2023116732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312807680).

2023116732 is an abundant number, since it is smaller than the sum of its proper divisors (4602498628).

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

2023116732 is a wasteful number, since it uses less digits than its factorization.

2023116732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32552 (or 32547 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2023116732 is about 44979.0699325809. The cubic root of 2023116732 is about 1264.7566763687.

Adding to 2023116732 its reverse (2376113202), we get a palindrome (4399229934).

It can be divided in two parts, 20231 and 16732, that added together give a palindrome (36963).

The spelling of 2023116732 in words is "two billion, twenty-three million, one hundred sixteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2394 2964 3276 3458 4446 4788 5187 6916 8892 10374 15561 20748 31122 32503 62244 65006 97509 130012 195018 227521 292527 390036 422539 455042 585054 617557 682563 845078 910084 1170108 1235114 1267617 1365126 1690156 1852671 2047689 2470228 2535234 2730252 2957773 3705342 3802851 4095378 4322899 5070468 5558013 5915546 7410684 7605702 8028241 8190756 8645798 8873319 11116026 11831092 12968697 15211404 16056482 17291596 17746638 22232052 24084723 25937394 26619957 32112964 35493276 38906091 48169446 51874788 53239914 56197687 72254169 77812182 96338892 106479828 112395374 144508338 155624364 168593061 224790748 289016676 337186122 505779183 674372244 1011558366 2023116732