Search a number
-
+
10224413727 = 3112257109597
BaseRepresentation
bin10011000010110110…
…00010110000011111
3222101120001000212220
421201123002300133
5131414422214402
64410320400423
7511241040243
oct114133026037
928346030786
1010224413727
114377462400
121b94176113
13c6c341b68
146cdc9c423
153ec93adbc
hex2616c2c1f

10224413727 has 24 divisors (see below), whose sum is σ = 15042983088. Its totient is φ = 6172446720.

The previous prime is 10224413723. The next prime is 10224413729. The reversal of 10224413727 is 72731442201.

It is not a de Polignac number, because 10224413727 - 22 = 10224413723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224413723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38493 + ... + 148089.

It is an arithmetic number, because the mean of its divisors is an integer number (626790962).

Almost surely, 210224413727 is an apocalyptic number.

10224413727 is a deficient number, since it is larger than the sum of its proper divisors (4818569361).

10224413727 is a wasteful number, since it uses less digits than its factorization.

10224413727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109879 (or 109868 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

Adding to 10224413727 its reverse (72731442201), we get a palindrome (82955855928).

The spelling of 10224413727 in words is "ten billion, two hundred twenty-four million, four hundred thirteen thousand, seven hundred twenty-seven".

Divisors: 1 3 11 33 121 257 363 771 2827 8481 31097 93291 109597 328791 1205567 3616701 13261237 28166429 39783711 84499287 309830719 929492157 3408137909 10224413727