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114451500 = 22353411861
BaseRepresentation
bin1101101001001…
…10010000101100
321222100201221110
412310212100230
5213244422000
615205032020
72556551562
oct664462054
9258321843
10114451500
1159672119
12323b5610
131a9335a7
14112b3a32
15a0ab850
hex6d2642c

114451500 has 96 divisors (see below), whose sum is σ = 341595072. Its totient is φ = 29760000.

The previous prime is 114451481. The next prime is 114451501. The reversal of 114451500 is 5154411.

It is not an unprimeable number, because it can be changed into a prime (114451501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60570 + ... + 62430.

It is an arithmetic number, because the mean of its divisors is an integer number (3558282).

Almost surely, 2114451500 is an apocalyptic number.

114451500 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 114451500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170797536).

114451500 is an abundant number, since it is smaller than the sum of its proper divisors (227143572).

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

114451500 is a wasteful number, since it uses less digits than its factorization.

114451500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 114451500 is about 10698.2007833093. The cubic root of 114451500 is about 485.5200430258.

The spelling of 114451500 in words is "one hundred fourteen million, four hundred fifty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 492 500 615 750 820 1025 1230 1500 1861 2050 2460 3075 3722 4100 5125 5583 6150 7444 9305 10250 11166 12300 15375 18610 20500 22332 27915 30750 37220 46525 55830 61500 76301 93050 111660 139575 152602 186100 228903 232625 279150 305204 381505 457806 465250 558300 697875 763010 915612 930500 1144515 1395750 1526020 1907525 2289030 2791500 3815050 4578060 5722575 7630100 9537625 11445150 19075250 22890300 28612875 38150500 57225750 114451500