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227338240 = 21151492
BaseRepresentation
bin11011000110011…
…10100000000000
3120211202222102211
431203032200000
5431144310430
634320351504
75430225463
oct1543164000
9524688384
10227338240
11107365648
1264175594
133813988c
142229b2da
1514e5972a
hexd8ce800

227338240 has 72 divisors (see below), whose sum is σ = 549164070. Its totient is φ = 90324992.

The previous prime is 227338207. The next prime is 227338247. The reversal of 227338240 is 42833722.

It can be written as a sum of positive squares in 3 ways, for example, as 87909376 + 139428864 = 9376^2 + 11808^2 .

It is not an unprimeable number, because it can be changed into a prime (227338247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1525686 + ... + 1525834.

Almost surely, 2227338240 is an apocalyptic number.

227338240 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 227338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274582035).

227338240 is an abundant number, since it is smaller than the sum of its proper divisors (321825830).

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

227338240 is an frugal number, since it uses more digits than its factorization.

227338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 227338240 is about 15077.7398836828. The cubic root of 227338240 is about 610.3198537548.

The spelling of 227338240 in words is "two hundred twenty-seven million, three hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 256 298 320 512 596 640 745 1024 1192 1280 1490 2048 2384 2560 2980 4768 5120 5960 9536 10240 11920 19072 22201 23840 38144 44402 47680 76288 88804 95360 111005 152576 177608 190720 222010 305152 355216 381440 444020 710432 762880 888040 1420864 1525760 1776080 2841728 3552160 5683456 7104320 11366912 14208640 22733824 28417280 45467648 56834560 113669120 227338240