Search a number
-
+
227011680720 = 2432511471793407
BaseRepresentation
bin1101001101101011110…
…0110101100111010000
3210200221211112020110200
43103122330311213100
512204404442240340
6252142052055200
722254363306516
oct3233274654720
9720854466420
10227011680720
11883031a2780
1237bb5904500
131853a55c5c6
14adb76c44b6
155d89a65330
hex34daf359d0

227011680720 has 480 divisors, whose sum is σ = 854379601920. Its totient is φ = 53545589760.

The previous prime is 227011680691. The next prime is 227011680787. The reversal of 227011680720 is 27086110722.

227011680720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 66629257 + ... + 66632663.

It is an arithmetic number, because the mean of its divisors is an integer number (1779957504).

Almost surely, 2227011680720 is an apocalyptic number.

227011680720 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 227011680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427189800960).

227011680720 is an abundant number, since it is smaller than the sum of its proper divisors (627367921200).

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

227011680720 is a wasteful number, since it uses less digits than its factorization.

227011680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 227011680720 in words is "two hundred twenty-seven billion, eleven million, six hundred eighty thousand, seven hundred twenty".