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23331126 = 23713219173
BaseRepresentation
bin101100100000…
…0000100110110
31121220100021210
41121000010312
521433044001
62152022250
7402211530
oct131000466
947810253
1023331126
1112196025
127991986
134aab700
143154850
1520acdd6
hex1640136

23331126 has 96 divisors (see below), whose sum is σ = 61136640. Its totient is φ = 5795712.

The previous prime is 23331103. The next prime is 23331151. The reversal of 23331126 is 62113332.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134776 + ... + 134948.

It is an arithmetic number, because the mean of its divisors is an integer number (636840).

Almost surely, 223331126 is an apocalyptic number.

23331126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23331126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30568320).

23331126 is an abundant number, since it is smaller than the sum of its proper divisors (37805514).

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

23331126 is a wasteful number, since it uses less digits than its factorization.

23331126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 23331126 is about 4830.2304292860. The cubic root of 23331126 is about 285.7449516847.

Adding to 23331126 its reverse (62113332), we get a palindrome (85444458).

The spelling of 23331126 in words is "twenty-three million, three hundred thirty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 169 173 182 247 266 273 338 346 399 494 507 519 546 741 798 1014 1038 1183 1211 1482 1729 2249 2366 2422 3211 3287 3458 3549 3633 4498 5187 6422 6574 6747 7098 7266 9633 9861 10374 13494 15743 19266 19722 22477 23009 29237 31486 42731 44954 46018 47229 58474 67431 69027 85462 87711 94458 128193 134862 138054 175422 204659 256386 299117 409318 555503 598234 613977 897351 1111006 1227954 1666509 1794702 3333018 3888521 7777042 11665563 23331126