Search a number
-
+
2252166102 = 2321934918869
BaseRepresentation
bin1000011000111101…
…0101001111010110
312210221211220002100
42012033111033112
514103023303402
61011251422530
7106545044634
oct20617251726
95727756070
102252166102
11a5631a7aa
1252a2b4a46
1329b797984
1417517a354
15d2ac371c
hex863d53d6

2252166102 has 48 divisors (see below), whose sum is σ = 5151510000. Its totient is φ = 709134912.

The previous prime is 2252166053. The next prime is 2252166127. The reversal of 2252166102 is 2016612522.

2252166102 is a `hidden beast` number, since 2 + 25 + 21 + 6 + 610 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109924 + ... + 128792.

It is an arithmetic number, because the mean of its divisors is an integer number (107323125).

Almost surely, 22252166102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252166102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575755000).

2252166102 is an abundant number, since it is smaller than the sum of its proper divisors (2899343898).

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

2252166102 is a wasteful number, since it uses less digits than its factorization.

2252166102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19245 (or 19242 counting only the distinct ones).

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

The square root of 2252166102 is about 47456.9921297168. The cubic root of 2252166102 is about 1310.7910654336.

Adding to 2252166102 its reverse (2016612522), we get a palindrome (4268778624).

The spelling of 2252166102 in words is "two billion, two hundred fifty-two million, one hundred sixty-six thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 349 698 1047 2094 3141 6282 6631 13262 18869 19893 37738 39786 56607 59679 113214 119358 169821 339642 358511 717022 1075533 2151066 3226599 6453198 6585281 13170562 19755843 39511686 59267529 118535058 125120339 250240678 375361017 750722034 1126083051 2252166102