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145332224 = 211292447
BaseRepresentation
bin10001010100110…
…01100000000000
3101010110122022222
420222121200000
5244201112344
622230550212
73413206052
oct1052314000
9333418288
10145332224
1175044284
1240808368
13241563cb
14154318d2
15cb5b5ee
hex8a99800

145332224 has 48 divisors (see below), whose sum is σ = 300736800. Its totient is φ = 70131712.

The previous prime is 145332223. The next prime is 145332227. The reversal of 145332224 is 422233541.

It is a super-2 number, since 2×1453322242 = 42242910665572352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145332193 and 145332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145332223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58169 + ... + 60615.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2145332224 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 145332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

145332224 is an abundant number, since it is smaller than the sum of its proper divisors (155404576).

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

145332224 is an equidigital number, since it uses as much as digits as its factorization.

145332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2478 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 145332224 is about 12055.3815368905. The cubic root of 145332224 is about 525.7597152207.

Adding to 145332224 its reverse (422233541), we get a palindrome (567565765).

The spelling of 145332224 in words is "one hundred forty-five million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 2447 3712 4894 7424 9788 14848 19576 29696 39152 59392 70963 78304 141926 156608 283852 313216 567704 626432 1135408 1252864 2270816 2505728 4541632 5011456 9083264 18166528 36333056 72666112 145332224