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226370720 = 2557119927
BaseRepresentation
bin11010111111000…
…10010010100000
3120202221211020202
431133202102200
5430422330340
634243524332
75416055642
oct1537422240
9522854222
10226370720
11106864744
12639896a8
1337b8b394
14220c8892
1514d17c15
hexd7e24a0

226370720 has 48 divisors (see below), whose sum is σ = 542360448. Its totient is φ = 89268480.

The previous prime is 226370713. The next prime is 226370747. The reversal of 226370720 is 27073622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1397 + ... + 21323.

It is an arithmetic number, because the mean of its divisors is an integer number (11299176).

Almost surely, 2226370720 is an apocalyptic number.

226370720 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 226370720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271180224).

226370720 is an abundant number, since it is smaller than the sum of its proper divisors (315989728).

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

226370720 is a wasteful number, since it uses less digits than its factorization.

226370720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20013 (or 20005 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 226370720 is about 15045.6212899302. The cubic root of 226370720 is about 609.4528103840.

The spelling of 226370720 in words is "two hundred twenty-six million, three hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 19927 39854 79708 99635 159416 199270 318832 398540 637664 797080 1414817 1594160 2829634 3188320 5659268 7074085 11318536 14148170 22637072 28296340 45274144 56592680 113185360 226370720