Search a number
-
+
22691902464 = 2103471121719
BaseRepresentation
bin10101001000100010…
…101111010000000000
32011120102211002020000
4111020202233100000
5332433111334324
614231410120000
71432216663020
oct251042572000
964512732200
1022691902464
119694a95200
124493580000
1321a82b772a
141153a0ba80
158cc2519c9
hex5488af400

22691902464 has 1320 divisors, whose sum is σ = 94874028480. Its totient is φ = 5255331840.

The previous prime is 22691902439. The next prime is 22691902477. The reversal of 22691902464 is 46420919622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1194310647 + ... + 1194310665.

It is an arithmetic number, because the mean of its divisors is an integer number (71874264).

Almost surely, 222691902464 is an apocalyptic number.

22691902464 is a gapful number since it is divisible by the number (24) 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 22691902464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47437014240).

22691902464 is an abundant number, since it is smaller than the sum of its proper divisors (72182126016).

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

22691902464 is a wasteful number, since it uses less digits than its factorization.

22691902464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 22691902464 in words is "twenty-two billion, six hundred ninety-one million, nine hundred two thousand, four hundred sixty-four".