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233023223224 = 2311233710928547
BaseRepresentation
bin1101100100000101000…
…1000011010110111000
3211021110210022020111001
43121001101003112320
512304212421120344
6255014400214344
722556350500511
oct3310121032670
9737423266431
10233023223224
118a908597620
12391b300a3b4
1318c87b3a04c
14b3c7c59a08
1560dc6cced4
hex36414435b8

233023223224 has 128 divisors (see below), whose sum is σ = 515508364800. Its totient is φ = 97668426240.

The previous prime is 233023223219. The next prime is 233023223227. The reversal of 233023223224 is 422322320332.

It is a super-3 number, since 3×2330232232243 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233023223192 and 233023223201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233023223227) 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, 8148519 + ... + 8177065.

It is an arithmetic number, because the mean of its divisors is an integer number (4027409100).

Almost surely, 2233023223224 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 233023223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257754182400).

233023223224 is an abundant number, since it is smaller than the sum of its proper divisors (282485141576).

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

233023223224 is a wasteful number, since it uses less digits than its factorization.

233023223224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28733 (or 28729 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 233023223224 its reverse (422322320332), we get a palindrome (655345543556).

The spelling of 233023223224 in words is "two hundred thirty-three billion, twenty-three million, two hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 37 44 46 74 88 92 109 148 184 218 253 296 407 436 506 814 851 872 1012 1199 1628 1702 2024 2398 2507 3256 3404 4033 4796 5014 6808 8066 9361 9592 10028 16132 18722 20056 27577 28547 32264 37444 44363 55154 57094 74888 88726 92759 110308 114188 177452 185518 220616 228376 314017 354904 371036 628034 656581 742072 1020349 1056239 1256068 1313162 2040698 2112478 2512136 2626324 3111623 4081396 4224956 5252648 6223246 7222391 8162792 8449912 11618629 12446492 14444782 23237258 24293497 24892984 28889564 34227853 46474516 48586994 57779128 68455706 71567329 92949032 97173988 115130051 136911412 143134658 194347976 230260102 267228467 273822824 286269316 460520204 534456934 572538632 787240619 921040408 1068913868 1266430561 1574481238 2137827736 2532861122 2647991173 3148962476 5065722244 5295982346 6297924952 10131444488 10591964692 21183929384 29127902903 58255805806 116511611612 233023223224