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223132132230 = 235779111712041
BaseRepresentation
bin1100111111001110110…
…1100010001110000110
3210022221110110202102120
43033303231202032012
512123433311212410
6250301103550410
722056264554520
oct3176355421606
9708843422376
10223132132230
11866a22a9557
12372b25bb406
131806c892497
14ab2a366a10
155c0e184570
hex33f3b62386

223132132230 has 128 divisors (see below), whose sum is σ = 620373012480. Its totient is φ = 50306780160.

The previous prime is 223132132229. The next prime is 223132132271. The reversal of 223132132230 is 32231231322.

It is a super-3 number, since 3×2231321322303 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223132132230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18525010 + ... + 18537050.

It is an arithmetic number, because the mean of its divisors is an integer number (4846664160).

Almost surely, 2223132132230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223132132230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310186506240).

223132132230 is an abundant number, since it is smaller than the sum of its proper divisors (397240880250).

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

223132132230 is a wasteful number, since it uses less digits than its factorization.

223132132230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13254.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 223132132230 its reverse (32231231322), we get a palindrome (255363363552).

The spelling of 223132132230 in words is "two hundred twenty-three billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 790 1106 1117 1185 1659 2234 2370 2765 3318 3351 5530 5585 6702 7819 8295 11170 12041 15638 16590 16755 23457 24082 33510 36123 39095 46914 60205 72246 78190 84287 88243 117285 120410 168574 176486 180615 234570 252861 264729 361230 421435 441215 505722 529458 617701 842870 882430 951239 1235402 1264305 1323645 1853103 1902478 2528610 2647290 2853717 3088505 3706206 4756195 5707434 6177010 6658673 9265515 9512390 13317346 13449797 14268585 18531030 19976019 26899594 28537170 33293365 39952038 40349391 66586730 67248985 80698782 94148579 99880095 134497970 188297158 199760190 201746955 282445737 403493910 470742895 564891474 941485790 1062533963 1412228685 2125067926 2824457370 3187601889 5312669815 6375203778 7437737741 10625339630 14875475482 15938009445 22313213223 31876018890 37188688705 44626426446 74377377410 111566066115 223132132230