Search a number
-
+
226973713120 = 25571167274973
BaseRepresentation
bin1101001101100010110…
…0000000001011100000
3210200212012002021201021
43103120230000023200
512204320232304440
6252134214215224
722253422505020
oct3233054001340
9720765067637
10226973713120
11882938200a0
1237ba5054514
1318532727b7b
14adb263da80
155d8656584a
hex34d8b002e0

226973713120 has 192 divisors, whose sum is σ = 678521442816. Its totient is φ = 69688903680.

The previous prime is 226973713103. The next prime is 226973713151. The reversal of 226973713120 is 21317379622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687954 + ... + 962926.

It is an arithmetic number, because the mean of its divisors is an integer number (3533965848).

Almost surely, 2226973713120 is an apocalyptic number.

226973713120 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 226973713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339260721408).

226973713120 is an abundant number, since it is smaller than the sum of its proper divisors (451547729696).

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

226973713120 is a wasteful number, since it uses less digits than its factorization.

226973713120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275073 (or 275065 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 226973713120 in words is "two hundred twenty-six billion, nine hundred seventy-three million, seven hundred thirteen thousand, one hundred twenty".