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23227223040 = 21036572127
BaseRepresentation
bin10101101000011100…
…110100110000000000
32012221202010012000000
4111220130310300000
5340032132114130
614400452000000
71451410065300
oct255034646000
965852105000
1023227223040
11993a1864aa
124602900000
132262188478
1411a4b59600
1590e245260
hex568734c00

23227223040 has 924 divisors, whose sum is σ = 97943152896. Its totient is φ = 5267275776.

The previous prime is 23227223039. The next prime is 23227223051. The reversal of 23227223040 is 4032272232.

It is a happy number.

23227223040 is a `hidden beast` number, since 2 + 322 + 72 + 230 + 40 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23227222995 and 23227223013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 182891457 + ... + 182891583.

Almost surely, 223227223040 is an apocalyptic number.

23227223040 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 23227223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48971576448).

23227223040 is an abundant number, since it is smaller than the sum of its proper divisors (74715929856).

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

23227223040 is an equidigital number, since it uses as much as digits as its factorization.

23227223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 23227223040 its reverse (4032272232), we get a palindrome (27259495272).

The spelling of 23227223040 in words is "twenty-three billion, two hundred twenty-seven million, two hundred twenty-three thousand, forty".