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114555450 = 23524716249
BaseRepresentation
bin1101101001111…
…11101000111010
321222120000112110
412310333220322
5213311233300
615211153150
72560463622
oct664775072
9258500473
10114555450
1159733229
12324457b6
131a96b9b9
14112dd882
15a0cc550
hex6d3fa3a

114555450 has 48 divisors (see below), whose sum is σ = 290160000. Its totient is φ = 29896320.

The previous prime is 114555449. The next prime is 114555473. The reversal of 114555450 is 54555411.

It is a super-2 number, since 2×1145554502 = 26245902249405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 1075 + ... + 15174.

It is an arithmetic number, because the mean of its divisors is an integer number (6045000).

Almost surely, 2114555450 is an apocalyptic number.

114555450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114555450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080000).

114555450 is an abundant number, since it is smaller than the sum of its proper divisors (175604550).

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

114555450 is a wasteful number, since it uses less digits than its factorization.

114555450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16311 (or 16306 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 114555450 is about 10703.0579742427. The cubic root of 114555450 is about 485.6669889273. Note that the first 3 decimals are identical.

The spelling of 114555450 in words is "one hundred fourteen million, five hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 7050 16249 32498 48747 81245 97494 162490 243735 406225 487470 763703 812450 1218675 1527406 2291109 2437350 3818515 4582218 7637030 11455545 19092575 22911090 38185150 57277725 114555450