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227028120 = 233511293587
BaseRepresentation
bin11011000100000…
…10110010011000
3120211012020000220
431202002302120
5431104344440
634310000040
75424464364
oct1542026230
9524166026
10227028120
11107173650
1264046020
133805b687
142221a2a4
1514de78d0
hexd882c98

227028120 has 128 divisors (see below), whose sum is σ = 746807040. Its totient is φ = 54755840.

The previous prime is 227028107. The next prime is 227028161. The reversal of 227028120 is 21820722.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 386467 + ... + 387053.

It is an arithmetic number, because the mean of its divisors is an integer number (5834430).

Almost surely, 2227028120 is an apocalyptic number.

227028120 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 227028120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373403520).

227028120 is an abundant number, since it is smaller than the sum of its proper divisors (519778920).

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

227028120 is a wasteful number, since it uses less digits than its factorization.

227028120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 227028120 is about 15067.4523393970. The cubic root of 227028120 is about 610.0422079546.

Adding to 227028120 its reverse (21820722), we get a palindrome (248848842).

The spelling of 227028120 in words is "two hundred twenty-seven million, twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 293 330 440 586 587 660 879 1172 1174 1320 1465 1758 1761 2344 2348 2930 2935 3223 3516 3522 4395 4696 5860 5870 6446 6457 7032 7044 8790 8805 9669 11720 11740 12892 12914 14088 16115 17580 17610 19338 19371 23480 25784 25828 32230 32285 35160 35220 38676 38742 48345 51656 64460 64570 70440 77352 77484 96690 96855 128920 129140 154968 171991 193380 193710 258280 343982 386760 387420 515973 687964 774840 859955 1031946 1375928 1719910 1891901 2063892 2579865 3439820 3783802 4127784 5159730 5675703 6879640 7567604 9459505 10319460 11351406 15135208 18919010 20638920 22702812 28378515 37838020 45405624 56757030 75676040 113514060 227028120