Search a number
-
+
22312300230 = 23351123326633
BaseRepresentation
bin10100110001111010…
…101010111011000110
32010120222112021212000
4110301322222323012
5331143422101410
614130010010130
71416630264663
oct246172527306
963528467760
1022312300230
11950a791450
1243a8416946
13214776861c
141119436a6a
158a8c6bdc0
hex531eaaec6

22312300230 has 128 divisors (see below), whose sum is σ = 67730826240. Its totient is φ = 5173850880.

The previous prime is 22312300211. The next prime is 22312300243. The reversal of 22312300230 is 3200321322.

It is a happy number.

22312300230 is a `hidden beast` number, since 22 + 312 + 300 + 2 + 30 = 666.

It is a super-3 number, since 3×223123002303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95007 + ... + 231626.

It is an arithmetic number, because the mean of its divisors is an integer number (529147080).

Almost surely, 222312300230 is an apocalyptic number.

22312300230 is an abundant number, since it is smaller than the sum of its proper divisors (45418526010).

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

22312300230 is a wasteful number, since it uses less digits than its factorization.

22312300230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326683 (or 326677 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22312300230 its reverse (3200321322), we get a palindrome (25512621552).

The spelling of 22312300230 in words is "twenty-two billion, three hundred twelve million, three hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 90 99 110 115 135 138 165 198 207 230 253 270 297 330 345 414 495 506 594 621 690 759 990 1035 1242 1265 1485 1518 2070 2277 2530 2970 3105 3795 4554 6210 6831 7590 11385 13662 22770 34155 68310 326633 653266 979899 1633165 1959798 2939697 3266330 3592963 4899495 5879394 7185926 7512559 8819091 9798990 10778889 14698485 15025118 17638182 17964815 21557778 22537677 29396970 32336667 35929630 37562795 44095455 45075354 53894445 64673334 67613031 75125590 82638149 88190910 97010001 107788890 112688385 135226062 161683335 165276298 194020002 202839093 225376770 247914447 323366670 338065155 405678186 413190745 485050005 495828894 676130310 743743341 826381490 970100010 1014195465 1239572235 1487486682 2028390930 2231230023 2479144470 3718716705 4462460046 7437433410 11156150115 22312300230