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114522984 = 233673269
BaseRepresentation
bin1101101001101…
…11101101101000
321222111101000000
412310313231220
5213304213414
615210343000
72560300152
oct664675550
9258441000
10114522984
11597108a4
123242aa60
131a959ca4
14112d1ad2
15a0c2b09
hex6d37b68

114522984 has 112 divisors (see below), whose sum is σ = 327572100. Its totient is φ = 37511424.

The previous prime is 114522979. The next prime is 114523009. The reversal of 114522984 is 489225411.

It can be written as a sum of positive squares in 2 ways, for example, as 108618084 + 5904900 = 10422^2 + 2430^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 425602 + ... + 425870.

Almost surely, 2114522984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114522984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163786050).

114522984 is an abundant number, since it is smaller than the sum of its proper divisors (213049116).

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

114522984 is an equidigital number, since it uses as much as digits as its factorization.

114522984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 114522984 is about 10701.5411974164. The cubic root of 114522984 is about 485.6211038581.

The spelling of 114522984 in words is "one hundred fourteen million, five hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 243 269 292 324 438 486 538 584 648 657 729 807 876 972 1076 1314 1458 1614 1752 1944 1971 2152 2421 2628 2916 3228 3942 4842 5256 5832 5913 6456 7263 7884 9684 11826 14526 15768 17739 19368 19637 21789 23652 29052 35478 39274 43578 47304 53217 58104 58911 65367 70956 78548 87156 106434 117822 130734 141912 157096 174312 176733 196101 212868 235644 261468 353466 392202 425736 471288 522936 530199 706932 784404 1060398 1413864 1568808 1590597 2120796 3181194 4241592 4771791 6362388 9543582 12724776 14315373 19087164 28630746 38174328 57261492 114522984