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23430232422 = 2331757144699
BaseRepresentation
bin10101110100100011…
…001111100101100110
32020110220010010112000
4111310203033211212
5340441114414142
614432543110130
71456423455342
oct256443174546
966426103460
1023430232422
119a33834453
12465a8a2346
13229525746c
1411c3ac2622
15921e9614c
hex5748cf966

23430232422 has 64 divisors (see below), whose sum is σ = 55227744000. Its totient is φ = 7337623680.

The previous prime is 23430232381. The next prime is 23430232429. The reversal of 23430232422 is 22423203432.

It is a happy number.

23430232422 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 0 + 232 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23430232429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 501829 + ... + 546527.

It is an arithmetic number, because the mean of its divisors is an integer number (862933500).

Almost surely, 223430232422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23430232422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27613872000).

23430232422 is an abundant number, since it is smaller than the sum of its proper divisors (31797511578).

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

23430232422 is a wasteful number, since it uses less digits than its factorization.

23430232422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45298 (or 45292 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 23430232422 its reverse (22423203432), we get a palindrome (45853435854).

The spelling of 23430232422 in words is "twenty-three billion, four hundred thirty million, two hundred thirty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 571 918 1142 1713 3426 5139 9707 10278 15417 19414 29121 30834 44699 58242 87363 89398 134097 174726 262089 268194 402291 524178 759883 804582 1206873 1519766 2279649 2413746 4559298 6838947 13677894 20516841 25523129 41033682 51046258 76569387 153138774 229708161 433893193 459416322 689124483 867786386 1301679579 1378248966 2603359158 3905038737 7810077474 11715116211 23430232422