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145523232 = 25324391151
BaseRepresentation
bin10001010110010…
…00001000100000
3101010211100100100
420223020020200
5244223220412
622235022400
73414632661
oct1053101040
9333740310
10145523232
1175164838
124089aa00
13241c232a
1415481368
15cb97edc
hex8ac8220

145523232 has 72 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 48355200.

The previous prime is 145523221. The next prime is 145523239. The reversal of 145523232 is 232325541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1455232322 = 42354022103451648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145523196 and 145523205.

It is not an unprimeable number, because it can be changed into a prime (145523239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125857 + ... + 127007.

It is an arithmetic number, because the mean of its divisors is an integer number (5765760).

Almost surely, 2145523232 is an apocalyptic number.

145523232 is a gapful number since it is divisible by the number (12) 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 145523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

145523232 is an abundant number, since it is smaller than the sum of its proper divisors (269611488).

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

145523232 is a wasteful number, since it uses less digits than its factorization.

145523232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1595 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 145523232 is about 12063.3010407599. The cubic root of 145523232 is about 525.9899471349.

Adding to 145523232 its reverse (232325541), we get a palindrome (377848773).

The spelling of 145523232 in words is "one hundred forty-five million, five hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 439 878 1151 1317 1756 2302 2634 3453 3512 3951 4604 5268 6906 7024 7902 9208 10359 10536 13812 14048 15804 18416 20718 21072 27624 31608 36832 41436 42144 55248 63216 82872 110496 126432 165744 331488 505289 1010578 1515867 2021156 3031734 4042312 4547601 6063468 8084624 9095202 12126936 16169248 18190404 24253872 36380808 48507744 72761616 145523232