Search a number
-
+
223302331032 = 2331137191119689
BaseRepresentation
bin1100111111110111011…
…0110010101010011000
3210100101022201202021220
43033331312302222120
512124310344043112
6250330023532040
722063432332114
oct3177566625230
9710338652256
10223302331032
118677a387420
123733b5ba020
1318098c14131
14ab44bcc744
155c1e0a398c
hex33fddb2a98

223302331032 has 128 divisors (see below), whose sum is σ = 628745932800. Its totient is φ = 65493273600.

The previous prime is 223302331027. The next prime is 223302331067. The reversal of 223302331032 is 230133203322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 223302330993 and 223302331011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805844 + ... + 1925532.

It is an arithmetic number, because the mean of its divisors is an integer number (4912077600).

Almost surely, 2223302331032 is an apocalyptic number.

223302331032 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 223302331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314372966400).

223302331032 is an abundant number, since it is smaller than the sum of its proper divisors (405443601768).

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

223302331032 is a wasteful number, since it uses less digits than its factorization.

223302331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119937 (or 119933 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 223302331032 its reverse (230133203322), we get a palindrome (453435534354).

The spelling of 223302331032 in words is "two hundred twenty-three billion, three hundred two million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 191 222 264 296 382 407 444 573 764 814 888 1146 1221 1528 1628 2101 2292 2442 3256 4202 4584 4884 6303 7067 8404 9768 12606 14134 16808 21201 25212 28268 42402 50424 56536 77737 84804 119689 155474 169608 233211 239378 310948 359067 466422 478756 621896 718134 932844 957512 1316579 1436268 1865688 2633158 2872536 3949737 4428493 5266316 7899474 8856986 10532632 13285479 15798948 17713972 22860599 26570958 31597896 35427944 45721198 48713423 53141916 68581797 91442396 97426846 106283832 137163594 146140269 182884792 194853692 251466589 274327188 292280538 389707384 502933178 548654376 584561076 754399767 845842163 1005866356 1169122152 1508799534 1691684326 2011732712 2537526489 3017599068 3383368652 5075052978 6035198136 6766737304 9304263793 10150105956 18608527586 20300211912 27912791379 37217055172 55825582758 74434110344 111651165516 223302331032