Search a number
-
+
226522725000 = 23355111321121
BaseRepresentation
bin1101001011110111001…
…1100111101010001000
3210122200202110201022120
43102331303213222020
512202404304200000
6252021344051240
722236305251605
oct3227563475210
9718622421276
10226522725000
118808219a040
1237a9a003b20
13184901734b0
14ad6c7a56ac
155d5bb7e6a0
hex34bdce7a88

226522725000 has 384 divisors, whose sum is σ = 831625522560. Its totient is φ = 50688000000.

The previous prime is 226522724999. The next prime is 226522725061. The reversal of 226522725000 is 527225622.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10714440 + ... + 10735560.

It is an arithmetic number, because the mean of its divisors is an integer number (2165691465).

Almost surely, 2226522725000 is an apocalyptic number.

226522725000 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 226522725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415812761280).

226522725000 is an abundant number, since it is smaller than the sum of its proper divisors (605102797560).

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

226522725000 is a wasteful number, since it uses less digits than its factorization.

226522725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21179 (or 21155 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 226522725000 in words is "two hundred twenty-six billion, five hundred twenty-two million, seven hundred twenty-five thousand".