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152442020224 = 271391611791
BaseRepresentation
bin1000110111111001000…
…0001010000110000000
3112120110221112222212001
42031332100022012000
54444200124121344
6154010401313344
714004440535514
oct2157620120600
9476427488761
10152442020224
115971760108a
1225664635854
13114b548b340
147541c2c144
153e731a5ed4
hex237e40a180

152442020224 has 32 divisors (see below), whose sum is σ = 327054097440. Its totient is φ = 70357854720.

The previous prime is 152442020221. The next prime is 152442020257. The reversal of 152442020224 is 422020244251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 152442020192 and 152442020201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152442020221) 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, 45804232 + ... + 45807559.

It is an arithmetic number, because the mean of its divisors is an integer number (10220440545).

Almost surely, 2152442020224 is an apocalyptic number.

It is an amenable number.

152442020224 is an abundant number, since it is smaller than the sum of its proper divisors (174612077216).

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

152442020224 is an equidigital number, since it uses as much as digits as its factorization.

152442020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91611818 (or 91611806 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 152442020224 its reverse (422020244251), we get a palindrome (574462264475).

The spelling of 152442020224 in words is "one hundred fifty-two billion, four hundred forty-two million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 91611791 183223582 366447164 732894328 1190953283 1465788656 2381906566 2931577312 4763813132 5863154624 9527626264 11726309248 19055252528 38110505056 76221010112 152442020224