Search a number
-
+
145491228 = 22342711657
BaseRepresentation
bin10001010110000…
…00010100011100
3101010202201110000
420223000110130
5244221204403
622234214300
73414440451
oct1053002434
9333681400
10145491228
1175142793
1240884390
13241b08ac
1415473828
15cb8d7a3
hex8ac051c

145491228 has 60 divisors (see below), whose sum is σ = 381976672. Its totient is φ = 48288960.

The previous prime is 145491211. The next prime is 145491233. The reversal of 145491228 is 822194541.

145491228 is a `hidden beast` number, since 145 + 491 + 2 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145491192 and 145491201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86976 + ... + 88632.

Almost surely, 2145491228 is an apocalyptic number.

145491228 is a gapful number since it is divisible by the number (18) 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 145491228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190988336).

145491228 is an abundant number, since it is smaller than the sum of its proper divisors (236485444).

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

145491228 is a wasteful number, since it uses less digits than its factorization.

145491228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1933 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 145491228 is about 12061.9744652358. The cubic root of 145491228 is about 525.9513850986.

The spelling of 145491228 in words is "one hundred forty-five million, four hundred ninety-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 271 324 542 813 1084 1626 1657 2439 3252 3314 4878 4971 6628 7317 9756 9942 14634 14913 19884 21951 29268 29826 43902 44739 59652 87804 89478 134217 178956 268434 449047 536868 898094 1347141 1796188 2694282 4041423 5388564 8082846 12124269 16165692 24248538 36372807 48497076 72745614 145491228