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114227880 = 233513371979
BaseRepresentation
bin1101100111011…
…11101010101000
321221221101012020
412303233222220
5213220243010
615200144440
72554630614
oct663575250
9257841166
10114227880
115952a108
1232308120
131a885880
1411256344
15a065470
hex6cefaa8

114227880 has 128 divisors (see below), whose sum is σ = 379209600. Its totient is φ = 27343872.

The previous prime is 114227849. The next prime is 114227903. The reversal of 114227880 is 88722411.

It is a happy number.

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, 56731 + ... + 58709.

It is an arithmetic number, because the mean of its divisors is an integer number (2962575).

Almost surely, 2114227880 is an apocalyptic number.

114227880 is a gapful number since it is divisible by the number (10) 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 114227880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

114227880 is an abundant number, since it is smaller than the sum of its proper divisors (264981720).

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

114227880 is a wasteful number, since it uses less digits than its factorization.

114227880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 114227880 is about 10687.7443831708. The cubic root of 114227880 is about 485.2036272524.

The spelling of 114227880 in words is "one hundred fourteen million, two hundred twenty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 37 39 40 52 60 65 74 78 104 111 120 130 148 156 185 195 222 260 296 312 370 390 444 481 520 555 740 780 888 962 1110 1443 1480 1560 1924 1979 2220 2405 2886 3848 3958 4440 4810 5772 5937 7215 7916 9620 9895 11544 11874 14430 15832 19240 19790 23748 25727 28860 29685 39580 47496 51454 57720 59370 73223 77181 79160 102908 118740 128635 146446 154362 205816 219669 237480 257270 292892 308724 366115 385905 439338 514540 585784 617448 732230 771810 878676 951899 1029080 1098345 1464460 1543620 1757352 1903798 2196690 2855697 2928920 3087240 3807596 4393380 4759495 5711394 7615192 8786760 9518990 11422788 14278485 19037980 22845576 28556970 38075960 57113940 114227880