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114223032 = 233271121873
BaseRepresentation
bin1101100111011…
…10011110111000
321221221010112200
412303232132320
5213220114112
615200110200
72554610520
oct663563670
9257833480
10114223032
1159526500
1232305360
131a8835c1
1411254680
15a063cdc
hex6cee7b8

114223032 has 144 divisors (see below), whose sum is σ = 388817520. Its totient is φ = 29652480.

The previous prime is 114223013. The next prime is 114223073. The reversal of 114223032 is 230322411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114222996 and 114223014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60048 + ... + 61920.

Almost surely, 2114223032 is an apocalyptic number.

114223032 is a gapful number since it is divisible by the number (12) 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 114223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194408760).

114223032 is an abundant number, since it is smaller than the sum of its proper divisors (274594488).

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

114223032 is a wasteful number, since it uses less digits than its factorization.

114223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 114223032 is about 10687.5175789329. The cubic root of 114223032 is about 485.1967629024.

Adding to 114223032 its reverse (230322411), we get a palindrome (344545443).

The spelling of 114223032 in words is "one hundred fourteen million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1694 1848 1873 2178 2541 2772 2904 3388 3746 4356 5082 5544 5619 6776 7492 7623 8712 10164 11238 13111 14984 15246 16857 20328 20603 22476 26222 30492 33714 39333 41206 44952 52444 60984 61809 67428 78666 82412 104888 117999 123618 134856 144221 157332 164824 185427 226633 235998 247236 288442 314664 370854 432663 453266 471996 494472 576884 679899 741708 865326 906532 943992 1153768 1297989 1359798 1483416 1586431 1730652 1813064 2039697 2595978 2719596 3172862 3461304 4079394 4759293 5191956 5439192 6345724 8158788 9518586 10383912 12691448 14277879 16317576 19037172 28555758 38074344 57111516 114223032