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152224403301 = 343089608389
BaseRepresentation
bin1000110111000101001…
…0000000111101100101
3112112220210001220120000
42031301102000331211
54443223421401201
6153533025131513
713666156036035
oct2156122007545
9475823056500
10152224403301
1159615786293
1225603789b99
131147c376529
147520d818c5
153e5e01bd86
hex2371480f65

152224403301 has 20 divisors (see below), whose sum is σ = 227470937100. Its totient is φ = 101449915776.

The previous prime is 152224403249. The next prime is 152224403311. The reversal of 152224403301 is 103304422251.

152224403301 is a `hidden beast` number, since 1 + 5 + 2 + 224 + 403 + 30 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56154780900 + 96069622401 = 236970^2 + 309951^2 .

It is not a de Polignac number, because 152224403301 - 210 = 152224402277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152224403311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53986 + ... + 554403.

It is an arithmetic number, because the mean of its divisors is an integer number (11373546855).

Almost surely, 2152224403301 is an apocalyptic number.

It is an amenable number.

152224403301 is a deficient number, since it is larger than the sum of its proper divisors (75246533799).

152224403301 is an equidigital number, since it uses as much as digits as its factorization.

152224403301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611490 (or 611481 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 152224403301 its reverse (103304422251), we get a palindrome (255528825552).

The spelling of 152224403301 in words is "one hundred fifty-two billion, two hundred twenty-four million, four hundred three thousand, three hundred one".

Divisors: 1 3 9 27 81 3089 9267 27801 83403 250209 608389 1825167 5475501 16426503 49279509 1879313621 5637940863 16913822589 50741467767 152224403301