Search a number
-
+
226858140167680 = 29571011013123733
BaseRepresentation
bin110011100101001110000110…
…110110111110111000000000
31002202020102111211202101112201
4303211032012312332320000
5214213320432340331210
62122253105120402544
765532650124044650
oct6345160666767000
91082212454671481
10226858140167680
1166313aa6a43a8a
122153a764176454
139977827bca648
144003dc787a360
151b3617a4cb53a
hexce5386dbee00

226858140167680 has 320 divisors, whose sum is σ = 628411393703808. Its totient is φ = 76933192089600.

The previous prime is 226858140167669. The next prime is 226858140167719. The reversal of 226858140167680 is 86761041858622.

226858140167680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 1833387094 + ... + 1833510826.

Almost surely, 2226858140167680 is an apocalyptic number.

226858140167680 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 226858140167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314205696851904).

226858140167680 is an abundant number, since it is smaller than the sum of its proper divisors (401553253536128).

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

226858140167680 is a wasteful number, since it uses less digits than its factorization.

226858140167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124877 (or 124861 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 64.

The spelling of 226858140167680 in words is "two hundred twenty-six trillion, eight hundred fifty-eight billion, one hundred forty million, one hundred sixty-seven thousand, six hundred eighty".