Search a number
-
+
22551456 = 253613851
BaseRepresentation
bin101011000000…
…1101110100000
31120102201210010
41112001232200
521233121311
62123204520
7362453454
oct126015640
946381703
1022551456
1111803274
127676740
134897875
142dd0664
151ea6da6
hex1581ba0

22551456 has 48 divisors (see below), whose sum is σ = 60183648. Its totient is φ = 7392000.

The previous prime is 22551449. The next prime is 22551457. The reversal of 22551456 is 65415522.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (22551457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3931 + ... + 7781.

It is an arithmetic number, because the mean of its divisors is an integer number (1253826).

Almost surely, 222551456 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 22551456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30091824).

22551456 is an abundant number, since it is smaller than the sum of its proper divisors (37632192).

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

22551456 is a wasteful number, since it uses less digits than its factorization.

22551456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3917 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 22551456 is about 4748.8373313897. The cubic root of 22551456 is about 282.5258534827.

Adding to 22551456 its reverse (65415522), we get a palindrome (87966978).

It can be divided in two parts, 225 and 51456, that added together give a triangular number (51681 = T321).

The spelling of 22551456 in words is "twenty-two million, five hundred fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 3851 5856 7702 11553 15404 23106 30808 46212 61616 92424 123232 184848 234911 369696 469822 704733 939644 1409466 1879288 2818932 3758576 5637864 7517152 11275728 22551456