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145320224 = 257738887
BaseRepresentation
bin10001010100101…
…10100100100000
3101010110000212112
420222112210200
5244200221344
622230414452
73413126060
oct1052264440
9333400775
10145320224
1175036265
1240801428
1324150aca
141542b3a0
15cb57c9e
hex8a96920

145320224 has 48 divisors (see below), whose sum is σ = 331486848. Its totient is φ = 61420032.

The previous prime is 145320211. The next prime is 145320251. The reversal of 145320224 is 422023541.

It is a happy number.

It is a super-2 number, since 2×1453202242 = 42235935006820352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145320224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11909 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (6905976).

Almost surely, 2145320224 is an apocalyptic number.

145320224 is a gapful number since it is divisible by the number (14) 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 145320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165743424).

145320224 is an abundant number, since it is smaller than the sum of its proper divisors (186166624).

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

145320224 is an equidigital number, since it uses as much as digits as its factorization.

145320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 145320224 is about 12054.8838235796. The cubic root of 145320224 is about 525.7452442611.

Adding to 145320224 its reverse (422023541), we get a palindrome (567343765).

The spelling of 145320224 in words is "one hundred forty-five million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 8887 16352 17774 35548 62209 71096 124418 142192 248836 284384 497672 648751 995344 1297502 1990688 2595004 4541257 5190008 9082514 10380016 18165028 20760032 36330056 72660112 145320224