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23106402 = 2321121032
BaseRepresentation
bin101100000100…
…1001101100010
31121110221000200
41120021031202
521403401102
62143130030
7400254414
oct130111542
947427020
1023106402
1112052200
1278a3916
134a30337
1430d69b4
15206651c
hex1609362

23106402 has 54 divisors (see below), whose sum is σ = 55568331. Its totient is φ = 6933960.

The previous prime is 23106397. The next prime is 23106403. The reversal of 23106402 is 20460132.

It is a happy number.

23106402 is a `hidden beast` number, since 23 + 1 + 0 + 640 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11553201 + 11553201 = 3399^2 + 3399^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3399.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23106403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 224283 + ... + 224385.

Almost surely, 223106402 is an apocalyptic number.

23106402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23106402

23106402 is an abundant number, since it is smaller than the sum of its proper divisors (32461929).

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

23106402 is a wasteful number, since it uses less digits than its factorization.

23106402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23106402 is about 4806.9118985062. The cubic root of 23106402 is about 284.8245642370.

Multiplying 23106402 by its sum of digits (18), we get a square (415915236 = 203942).

23106402 divided by its sum of digits (18) gives a square (1283689 = 11332).

Multiplying 23106402 by its product of nonzero digits (288), we get a square (6654643776 = 815762).

Adding to 23106402 its reverse (20460132), we get a palindrome (43566534).

The spelling of 23106402 in words is "twenty-three million, one hundred six thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 121 198 206 242 309 363 618 726 927 1089 1133 1854 2178 2266 3399 6798 10197 10609 12463 20394 21218 24926 31827 37389 63654 74778 95481 112167 116699 190962 224334 233398 350097 700194 1050291 1283689 2100582 2567378 3851067 7702134 11553201 23106402