Search a number
-
+
145422112 = 25111273253
BaseRepresentation
bin10001010101011…
…11011100100000
3101010122012122011
420222233130200
5244212001422
622232522304
73414032113
oct1052573440
9333565564
10145422112
11750a5870
1240850394
13241882b4
141545657a
15cb78077
hex8aaf720

145422112 has 48 divisors (see below), whose sum is σ = 314883072. Its totient is φ = 65560320.

The previous prime is 145422107. The next prime is 145422127. The reversal of 145422112 is 211224541.

It is a super-2 number, since 2×1454221122 = 42295181317081088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43078 + ... + 46330.

It is an arithmetic number, because the mean of its divisors is an integer number (6560064).

Almost surely, 2145422112 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 145422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157441536).

145422112 is an abundant number, since it is smaller than the sum of its proper divisors (169460960).

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

145422112 is a wasteful number, since it uses less digits than its factorization.

145422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3393 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 145422112 is about 12059.1090881541. The cubic root of 145422112 is about 525.8680870326.

Adding to 145422112 its reverse (211224541), we get a palindrome (356646653).

The spelling of 145422112 in words is "one hundred forty-five million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 352 508 1016 1397 2032 2794 3253 4064 5588 6506 11176 13012 22352 26024 35783 44704 52048 71566 104096 143132 286264 413131 572528 826262 1145056 1652524 3305048 4544441 6610096 9088882 13220192 18177764 36355528 72711056 145422112