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20232114 = 2375361149
BaseRepresentation
bin100110100101…
…1011110110010
31102001220020120
41031023132302
520134411424
62001351110
7333653520
oct115133662
942056216
1020232114
1110469761
126938496
134264c86
142989310
151b99a79
hex134b7b2

20232114 has 64 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 5541120.

The previous prime is 20232101. The next prime is 20232127. The reversal of 20232114 is 41123202.

It is an interprime number because it is at equal distance from previous prime (20232101) and next prime (20232127).

It is a junction number, because it is equal to n+sod(n) for n = 20232093 and 20232102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135712 + ... + 135860.

It is an arithmetic number, because the mean of its divisors is an integer number (753300).

Almost surely, 220232114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20232114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

20232114 is an abundant number, since it is smaller than the sum of its proper divisors (27979086).

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

20232114 is a wasteful number, since it uses less digits than its factorization.

20232114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20232114 is about 4498.0122276401. The cubic root of 20232114 is about 272.4878158568.

Adding to 20232114 its reverse (41123202), we get a palindrome (61355316).

The spelling of 20232114 in words is "twenty million, two hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 61 106 122 149 159 183 298 318 366 371 427 447 742 854 894 1043 1113 1281 2086 2226 2562 3129 3233 6258 6466 7897 9089 9699 15794 18178 19398 22631 23691 27267 45262 47382 54534 55279 63623 67893 110558 127246 135786 165837 190869 331674 381738 481717 963434 1445151 2890302 3372019 6744038 10116057 20232114