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227144940 = 2235111971747
BaseRepresentation
bin11011000100111…
…11010011101100
3120211102011021120
431202133103230
5431122114230
634312300540
75425462101
oct1542372354
9524364246
10227144940
111072433a0
12640a1750
133809c8b9
142224aaa8
1514e1c310
hexd89f4ec

227144940 has 96 divisors (see below), whose sum is σ = 697745664. Its totient is φ = 54754560.

The previous prime is 227144927. The next prime is 227144959. The reversal of 227144940 is 49441722.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 129147 + ... + 130893.

It is an arithmetic number, because the mean of its divisors is an integer number (7268184).

Almost surely, 2227144940 is an apocalyptic number.

227144940 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 227144940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348872832).

227144940 is an abundant number, since it is smaller than the sum of its proper divisors (470600724).

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

227144940 is a wasteful number, since it uses less digits than its factorization.

227144940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 227144940 is about 15071.3284086042. The cubic root of 227144940 is about 610.1468248200.

The spelling of 227144940 in words is "two hundred twenty-seven million, one hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 197 220 330 394 591 660 788 985 1182 1747 1970 2167 2364 2955 3494 3940 4334 5241 5910 6501 6988 8668 8735 10482 10835 11820 13002 17470 19217 20964 21670 26004 26205 32505 34940 38434 43340 52410 57651 65010 76868 96085 104820 115302 130020 192170 230604 288255 344159 384340 576510 688318 1032477 1153020 1376636 1720795 2064954 3441590 3785749 4129908 5162385 6883180 7571498 10324770 11357247 15142996 18928745 20649540 22714494 37857490 45428988 56786235 75714980 113572470 227144940