Search a number
-
+
227366374620 = 2235711446311027
BaseRepresentation
bin1101001111000000010…
…1111000110011011100
3210201212112221120000210
43103300011320303130
512211121242441440
6252241202252420
722266231203520
oct3236005706334
9721775846023
10227366374620
1188475433530
1238094657110
1318595b9a158
14b00c853d80
155daac79a80
hex34f0178cdc

227366374620 has 192 divisors, whose sum is σ = 793965182976. Its totient is φ = 47230091520.

The previous prime is 227366374619. The next prime is 227366374639. The reversal of 227366374620 is 26473663722.

227366374620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 227366374620.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20613547 + ... + 20624573.

It is an arithmetic number, because the mean of its divisors is an integer number (4135235328).

Almost surely, 2227366374620 is an apocalyptic number.

227366374620 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 227366374620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396982591488).

227366374620 is an abundant number, since it is smaller than the sum of its proper divisors (566598808356).

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

227366374620 is a wasteful number, since it uses less digits than its factorization.

227366374620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 227366374620 in words is "two hundred twenty-seven billion, three hundred sixty-six million, three hundred seventy-four thousand, six hundred twenty".