Search a number
-
+
251822116 = 227134911409
BaseRepresentation
bin11110000001010…
…00000000100100
3122112211220000001
433000220000210
51003431301431
640553231044
76145311160
oct1700500044
9575756001
10251822116
1111a168757
1270402484
134022cb90
1425631ca0
1517193e61
hexf028024

251822116 has 48 divisors (see below), whose sum is σ = 543876480. Its totient is φ = 99348480.

The previous prime is 251822023. The next prime is 251822119. The reversal of 251822116 is 611228152.

251822116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (251822119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178020 + ... + 179428.

It is an arithmetic number, because the mean of its divisors is an integer number (11330760).

Almost surely, 2251822116 is an apocalyptic number.

251822116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251822116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271938240).

251822116 is an abundant number, since it is smaller than the sum of its proper divisors (292054364).

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

251822116 is a wasteful number, since it uses less digits than its factorization.

251822116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1922 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 251822116 is about 15868.9040579367. The cubic root of 251822116 is about 631.4873031799.

The spelling of 251822116 in words is "two hundred fifty-one million, eight hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 491 982 1409 1964 2818 3437 5636 6383 6874 9863 12766 13748 18317 19726 25532 36634 39452 44681 73268 89362 128219 178724 256438 512876 691819 1383638 2767276 4842733 8993647 9685466 17987294 19370932 35974588 62955529 125911058 251822116