Search a number
-
+
226373923776 = 263711132383617
BaseRepresentation
bin1101001011010011101…
…1111111001111000000
3210122022101110211102010
43102310323333033000
512202103211030101
6251554510452520
722232520414030
oct3226473771700
9718271424363
10226373923776
11880061a6520
1237a58204140
13184683a4130
14ad56b0d8c0
155d4da8a2d6
hex34b4eff3c0

226373923776 has 896 divisors, whose sum is σ = 850632523776. Its totient is φ = 51207045120.

The previous prime is 226373923757. The next prime is 226373923781. The reversal of 226373923776 is 677329373622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366894220 + ... + 366894836.

It is an arithmetic number, because the mean of its divisors is an integer number (949366656).

Almost surely, 2226373923776 is an apocalyptic number.

226373923776 is a gapful number since it is divisible by the number (26) 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 226373923776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425316261888).

226373923776 is an abundant number, since it is smaller than the sum of its proper divisors (624258600000).

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

226373923776 is a wasteful number, since it uses less digits than its factorization.

226373923776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 57.

The spelling of 226373923776 in words is "two hundred twenty-six billion, three hundred seventy-three million, nine hundred twenty-three thousand, seven hundred seventy-six".