Search a number
-
+
226454001620 = 2257111037511901
BaseRepresentation
bin1101001011100110110…
…1011101011111010100
3210122111222011012120012
43102321231131133110
512202234211022440
6252010451055352
722234512153110
oct3227155353724
9718458135505
10226454001620
1188047420160
1237a7aba1558
131847bb60a82
14ad635d6740
155d55b06e65
hex34b9b5d7d4

226454001620 has 192 divisors, whose sum is σ = 599766515712. Its totient is φ = 69768000000.

The previous prime is 226454001617. The next prime is 226454001677. The reversal of 226454001620 is 26100454622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119122670 + ... + 119124570.

It is an arithmetic number, because the mean of its divisors is an integer number (3123783936).

Almost surely, 2226454001620 is an apocalyptic number.

226454001620 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 226454001620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299883257856).

226454001620 is an abundant number, since it is smaller than the sum of its proper divisors (373312514092).

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

226454001620 is a wasteful number, since it uses less digits than its factorization.

226454001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 226454001620 in words is "two hundred twenty-six billion, four hundred fifty-four million, one thousand, six hundred twenty".