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23538114 = 2343143109
BaseRepresentation
bin101100111001…
…0100111000010
31122021212020000
41121302213002
522011204424
62200300430
7404033145
oct131624702
948255200
1023538114
1112317596
127a71716
134b519a2
1431aa05c
1520ee3c9
hex16729c2

23538114 has 80 divisors (see below), whose sum is σ = 56221440. Its totient is φ = 7348320.

The previous prime is 23538103. The next prime is 23538127. The reversal of 23538114 is 41183532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215892 + ... + 216000.

It is an arithmetic number, because the mean of its divisors is an integer number (702768).

Almost surely, 223538114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23538114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28110720).

23538114 is an abundant number, since it is smaller than the sum of its proper divisors (32683326).

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

23538114 is a wasteful number, since it uses less digits than its factorization.

23538114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 23538114 is about 4851.6094236861. The cubic root of 23538114 is about 286.5874845906.

The spelling of 23538114 in words is "twenty-three million, five hundred thirty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 81 86 93 109 129 162 186 218 258 279 327 387 558 654 774 837 981 1161 1333 1674 1962 2322 2511 2666 2943 3379 3483 3999 4687 5022 5886 6758 6966 7998 8829 9374 10137 11997 14061 17658 20274 23994 28122 30411 35991 42183 60822 71982 84366 91233 107973 126549 145297 182466 215946 253098 273699 290594 379647 435891 547398 759294 871782 1307673 2615346 3923019 7846038 11769057 23538114