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227052240 = 24353972383
BaseRepresentation
bin11011000100010…
…00101011010000
3120211020110010020
431202020223100
5431111132430
634310303440
75424624612
oct1542105320
9524213106
10227052240
1110718a788
1264057b80
133806964c
1422224db2
1514deeb10
hexd888ad0

227052240 has 80 divisors (see below), whose sum is σ = 705931008. Its totient is φ = 60369408.

The previous prime is 227052233. The next prime is 227052269. The reversal of 227052240 is 42250722.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 227052240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94089 + ... + 96471.

Almost surely, 2227052240 is an apocalyptic number.

227052240 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 227052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352965504).

227052240 is an abundant number, since it is smaller than the sum of its proper divisors (478878768).

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

227052240 is a wasteful number, since it uses less digits than its factorization.

227052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 227052240 is about 15068.2527188789. The cubic root of 227052240 is about 610.0638112946.

The spelling of 227052240 in words is "two hundred twenty-seven million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 397 794 1191 1588 1985 2382 2383 3176 3970 4764 4766 5955 6352 7149 7940 9528 9532 11910 11915 14298 15880 19056 19064 23820 23830 28596 31760 35745 38128 47640 47660 57192 71490 95280 95320 114384 142980 190640 285960 571920 946051 1892102 2838153 3784204 4730255 5676306 7568408 9460510 11352612 14190765 15136816 18921020 22705224 28381530 37842040 45410448 56763060 75684080 113526120 227052240