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114224460 = 22357312283
BaseRepresentation
bin1101100111011…
…10110101001100
321221221012111120
412303232311030
5213220140320
615200120540
72554614630
oct663566514
9257835446
10114224460
1159527589
1232306150
131a88414c
1411254dc0
15a064440
hex6ceed4c

114224460 has 144 divisors (see below), whose sum is σ = 379024128. Its totient is φ = 25176960.

The previous prime is 114224437. The next prime is 114224471. The reversal of 114224460 is 64422411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114224460.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403479 + ... + 403761.

It is an arithmetic number, because the mean of its divisors is an integer number (2632112).

Almost surely, 2114224460 is an apocalyptic number.

114224460 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 114224460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189512064).

114224460 is an abundant number, since it is smaller than the sum of its proper divisors (264799668).

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

114224460 is a wasteful number, since it uses less digits than its factorization.

114224460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 114224460 is about 10687.5843856318. The cubic root of 114224460 is about 485.1987848474.

Adding to 114224460 its reverse (64422411), we get a palindrome (178646871).

The spelling of 114224460 in words is "one hundred fourteen million, two hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 283 310 372 420 434 465 566 620 651 849 868 930 961 1085 1132 1302 1415 1698 1860 1922 1981 2170 2604 2830 2883 3255 3396 3844 3962 4245 4340 4805 5660 5766 5943 6510 6727 7924 8490 8773 9610 9905 11532 11886 13020 13454 14415 16980 17546 19220 19810 20181 23772 26319 26908 28830 29715 33635 35092 39620 40362 43865 52638 57660 59430 61411 67270 80724 87730 100905 105276 118860 122822 131595 134540 175460 184233 201810 245644 263190 271963 307055 368466 403620 526380 543926 614110 736932 815889 921165 1087852 1228220 1359815 1631778 1842330 1903741 2719630 3263556 3684660 3807482 4079445 5439260 5711223 7614964 8158890 9518705 11422446 16317780 19037410 22844892 28556115 38074820 57112230 114224460