Search a number
-
+
2320194456 = 23346753441
BaseRepresentation
bin1000101001001011…
…0101101110011000
312222200212002110000
42022102311232120
514222432210311
61022121453000
7111332220216
oct21222655630
95880762400
102320194456
11a90764488
12549041160
132ac8c5c38
14180207cb6
15d8a60056
hex8a4b5b98

2320194456 has 80 divisors (see below), whose sum is σ = 6595811640. Its totient is φ = 761840640.

The previous prime is 2320194449. The next prime is 2320194463. The reversal of 2320194456 is 6544910232.

It is a happy number.

2320194456 is a `hidden beast` number, since 2 + 3 + 201 + 9 + 445 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2320194449) and next prime (2320194463).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2320194456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16696 + ... + 70136.

Almost surely, 22320194456 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 2320194456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297905820).

2320194456 is an abundant number, since it is smaller than the sum of its proper divisors (4275617184).

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

2320194456 is a wasteful number, since it uses less digits than its factorization.

2320194456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53526 (or 53513 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2320194456 is about 48168.3968593517. The cubic root of 2320194456 is about 1323.8581749187.

The spelling of 2320194456 in words is "two billion, three hundred twenty million, one hundred ninety-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 268 324 402 536 603 648 804 1206 1608 1809 2412 3618 4824 5427 7236 10854 14472 21708 43416 53441 106882 160323 213764 320646 427528 480969 641292 961938 1282584 1442907 1923876 2885814 3580547 3847752 4328721 5771628 7161094 8657442 10741641 11543256 14322188 17314884 21483282 28644376 32224923 34629768 42966564 64449846 85933128 96674769 128899692 193349538 257799384 290024307 386699076 580048614 773398152 1160097228 2320194456