Search a number
-
+
23214522240 = 2734572131937
BaseRepresentation
bin10101100111101100…
…010111111110000000
32012220212012220210000
4111213230113332000
5340020404202430
614355315440000
71451164116600
oct254754277600
965825186700
1023214522240
119932aa1178
1245ba5b6000
13225c65c4c0
1411a31b0c00
1590d086e60
hex567b17f80

23214522240 has 1920 divisors, whose sum is σ = 112277642400. Its totient is φ = 4514807808.

The previous prime is 23214522239. The next prime is 23214522241. The reversal of 23214522240 is 4222541232.

It is an interprime number because it is at equal distance from previous prime (23214522239) and next prime (23214522241).

It is a tau number, because it is divible by the number of its divisors (1920).

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 (23214522241) 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 239 ways as a sum of consecutive naturals, for example, 627419502 + ... + 627419538.

Almost surely, 223214522240 is an apocalyptic number.

23214522240 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 23214522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56138821200).

23214522240 is an abundant number, since it is smaller than the sum of its proper divisors (89063120160).

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

23214522240 is a wasteful number, since it uses less digits than its factorization.

23214522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 23214522240 in words is "twenty-three billion, two hundred fourteen million, five hundred twenty-two thousand, two hundred forty".