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145322232 = 23311717753
BaseRepresentation
bin10001010100101…
…11000011111000
3101010110010121220
420222113003320
5244200302412
622230432040
73413134656
oct1052270370
9333403556
10145322232
1175037820
1240802620
13241519b3
141542bdd6
15cb5868c
hex8a970f8

145322232 has 64 divisors (see below), whose sum is σ = 401967360. Its totient is φ = 43411200.

The previous prime is 145322173. The next prime is 145322267. The reversal of 145322232 is 232223541.

It is a super-2 number, since 2×1453222322 = 42237102226923648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14868 + ... + 22620.

It is an arithmetic number, because the mean of its divisors is an integer number (6280740).

Almost surely, 2145322232 is an apocalyptic number.

145322232 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 145322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200983680).

145322232 is an abundant number, since it is smaller than the sum of its proper divisors (256645128).

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

145322232 is a wasteful number, since it uses less digits than its factorization.

145322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7840 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 145322232 is about 12054.9671090385. The cubic root of 145322232 is about 525.7476657905.

Adding to 145322232 its reverse (232223541), we get a palindrome (377545773).

The spelling of 145322232 in words is "one hundred forty-five million, three hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 6248 7753 9372 15506 18744 23259 31012 46518 62024 85283 93036 170566 186072 255849 341132 511698 550463 682264 1023396 1100926 1651389 2046792 2201852 3302778 4403704 6055093 6605556 12110186 13211112 18165279 24220372 36330558 48440744 72661116 145322232