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23214354480 = 243252310211373
BaseRepresentation
bin10101100111101011…
…101111000000110000
32012220211220101122200
4111213223233000300
5340020333320410
614355312103200
71451162520522
oct254753570060
965824811580
1023214354480
119932997129
1245ba534b00
13225c601035
1411a3169a12
1590d0523c0
hex567aef030

23214354480 has 240 divisors, whose sum is σ = 81490159296. Its totient is φ = 5911234560.

The previous prime is 23214354439. The next prime is 23214354521. The reversal of 23214354480 is 8445341232.

23214354480 is a `hidden beast` number, since 2 + 32 + 1 + 4 + 3 + 544 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (23214354439) and next prime (23214354521).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16907074 + ... + 16908446.

Almost surely, 223214354480 is an apocalyptic number.

23214354480 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 23214354480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40745079648).

23214354480 is an abundant number, since it is smaller than the sum of its proper divisors (58275804816).

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

23214354480 is a wasteful number, since it uses less digits than its factorization.

23214354480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 23214354480 in words is "twenty-three billion, two hundred fourteen million, three hundred fifty-four thousand, four hundred eighty".