Search a number
-
+
23466203640 = 233251117379421
BaseRepresentation
bin10101110110101100…
…011101100111111000
32020120101210122202100
4111312230131213320
5341024322004030
614440310103400
71460341303605
oct256654354770
966511718670
1023466203640
119a52073130
12466a94ab60
13229c8402c9
1411c87a76ac
159251ee360
hex576b1d9f8

23466203640 has 384 divisors, whose sum is σ = 90482857920. Its totient is φ = 5208883200.

The previous prime is 23466203599. The next prime is 23466203689. The reversal of 23466203640 is 4630266432.

23466203640 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 6 + 2 + 0 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23466203595 and 23466203604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2486130 + ... + 2495550.

Almost surely, 223466203640 is an apocalyptic number.

23466203640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23466203640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45241428960).

23466203640 is an abundant number, since it is smaller than the sum of its proper divisors (67016654280).

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

23466203640 is a wasteful number, since it uses less digits than its factorization.

23466203640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9496 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 23466203640 in words is "twenty-three billion, four hundred sixty-six million, two hundred three thousand, six hundred forty".