Search a number
-
+
2251486244 = 227192353631
BaseRepresentation
bin1000011000110010…
…1111010000100100
312210220120100111102
42012030233100210
514102340024434
61011225055232
7106536213560
oct20614572044
95726510442
102251486244
11a559a5a37
1252a027518
1329b5ba3a7
141750406a0
15d29dc07e
hex8632f424

2251486244 has 72 divisors (see below), whose sum is σ = 4773460608. Its totient is φ = 910103040.

The previous prime is 2251486231. The next prime is 2251486247. The reversal of 2251486244 is 4426841522.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2251486198 and 2251486207.

It is not an unprimeable number, because it can be changed into a prime (2251486247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3567809 + ... + 3568439.

It is an arithmetic number, because the mean of its divisors is an integer number (66298064).

Almost surely, 22251486244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251486244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386730304).

2251486244 is an abundant number, since it is smaller than the sum of its proper divisors (2521974364).

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

2251486244 is a wasteful number, since it uses less digits than its factorization.

2251486244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1012 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

The square root of 2251486244 is about 47449.8287035896. The cubic root of 2251486244 is about 1310.6591566493.

The spelling of 2251486244 in words is "two billion, two hundred fifty-one million, four hundred eighty-six thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 353 361 532 631 706 722 1262 1412 1444 2471 2524 2527 4417 4942 5054 6707 8834 9884 10108 11989 13414 17668 23978 26828 46949 47956 83923 93898 127433 167846 187796 222743 227791 254866 335692 445486 455582 509732 890972 892031 911164 1559201 1594537 1784062 3118402 3189074 3568124 4232117 6236804 6378148 8464234 16928468 29624819 59249638 80410223 118499276 160820446 321640892 562871561 1125743122 2251486244