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114506550 = 23252793221
BaseRepresentation
bin1101101001100…
…11101100110110
321222110112110100
412310303230312
5213303202200
615210134530
72560201224
oct664635466
9258415410
10114506550
11596aa514
1232421446
131a952672
14112c9b14
15a0bcd00
hex6d33b36

114506550 has 72 divisors (see below), whose sum is σ = 311631840. Its totient is φ = 30139200.

The previous prime is 114506533. The next prime is 114506603. The reversal of 114506550 is 55605411.

It is a happy number.

114506550 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 655 + 0 = 666.

It is a super-2 number, since 2×1145065502 = 26223499985805000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33940 + ... + 37160.

It is an arithmetic number, because the mean of its divisors is an integer number (4328220).

Almost surely, 2114506550 is an apocalyptic number.

114506550 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 114506550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155815920).

114506550 is an abundant number, since it is smaller than the sum of its proper divisors (197125290).

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

114506550 is a wasteful number, since it uses less digits than its factorization.

114506550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 114506550 is about 10700.7733365397. The cubic root of 114506550 is about 485.5978739389.

The spelling of 114506550 in words is "one hundred fourteen million, five hundred six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 158 225 237 395 450 474 711 790 1185 1422 1975 2370 3221 3555 3950 5925 6442 7110 9663 11850 16105 17775 19326 28989 32210 35550 48315 57978 80525 96630 144945 161050 241575 254459 289890 483150 508918 724725 763377 1272295 1449450 1526754 2290131 2544590 3816885 4580262 6361475 7633770 11450655 12722950 19084425 22901310 38168850 57253275 114506550