Search a number
-
+
2266255446 = 2371328114771
BaseRepresentation
bin1000011100010100…
…0101000001010110
312211221100201000220
42013011011001112
514120130133241
61012513415210
7110105565510
oct20705050126
95757321026
102266255446
11a63273294
12532b6a506
132a168b970
14176da6bb0
15d3e58166
hex87145056

2266255446 has 64 divisors (see below), whose sum is σ = 5598706176. Its totient is φ = 595526400.

The previous prime is 2266255441. The next prime is 2266255451. The reversal of 2266255446 is 6445526622.

It is an interprime number because it is at equal distance from previous prime (2266255441) and next prime (2266255451).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2266255398 and 2266255407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266255441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146041 + ... + 160811.

It is an arithmetic number, because the mean of its divisors is an integer number (87479784).

Almost surely, 22266255446 is an apocalyptic number.

2266255446 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 2266255446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799353088).

2266255446 is an abundant number, since it is smaller than the sum of its proper divisors (3332450730).

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

2266255446 is a wasteful number, since it uses less digits than its factorization.

2266255446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15077.

The product of its digits is 691200, while the sum is 42.

The square root of 2266255446 is about 47605.2039802373. The cubic root of 2266255446 is about 1313.5187813202.

The spelling of 2266255446 in words is "two billion, two hundred sixty-six million, two hundred fifty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 281 546 562 843 1686 1967 3653 3934 5901 7306 10959 11802 14771 21918 25571 29542 44313 51142 76713 88626 103397 153426 192023 206794 310191 384046 576069 620382 1152138 1344161 2688322 4032483 4150651 8064966 8301302 12451953 24903906 29054557 53958463 58109114 87163671 107916926 161875389 174327342 323750778 377709241 755418482 1133127723 2266255446