Search a number
-
+
19722839040 = 210345192503
BaseRepresentation
bin10010010111100100…
…101010010000000000
31212220112000000220000
4102113210222100000
5310343021322130
613021024520000
71265515236312
oct222744522000
955815000800
1019722839040
118401034983
1239a5180000
131b24145578
14d515797b2
157a676e260
hex49792a400

19722839040 has 440 divisors, whose sum is σ = 74424989760. Its totient is φ = 4980621312.

The previous prime is 19722839033. The next prime is 19722839041. The reversal of 19722839040 is 4093822791.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19722839041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7878429 + ... + 7880931.

It is an arithmetic number, because the mean of its divisors is an integer number (169147704).

Almost surely, 219722839040 is an apocalyptic number.

19722839040 is a gapful number since it is divisible by the number (10) 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 19722839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37212494880).

19722839040 is an abundant number, since it is smaller than the sum of its proper divisors (54702150720).

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

19722839040 is a wasteful number, since it uses less digits than its factorization.

19722839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 19722839040 in words is "nineteen billion, seven hundred twenty-two million, eight hundred thirty-nine thousand, forty".