Search a number
-
+
154220016 = 2434374719
BaseRepresentation
bin10010011000100…
…11010111110000
3101202012012002110
421030103113300
5303440020031
623145245320
73551564016
oct1114232760
9352165073
10154220016
117a064865
1243793840
1325c48962
14166a68b6
15d814c46
hex93135f0

154220016 has 40 divisors (see below), whose sum is σ = 407672320. Its totient is φ = 50210496.

The previous prime is 154219993. The next prime is 154220047. The reversal of 154220016 is 610022451.

It is a junction number, because it is equal to n+sod(n) for n = 154219974 and 154220001.

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 7 ways as a sum of consecutive naturals, for example, 35296 + ... + 39423.

It is an arithmetic number, because the mean of its divisors is an integer number (10191808).

Almost surely, 2154220016 is an apocalyptic number.

154220016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

154220016 is an abundant number, since it is smaller than the sum of its proper divisors (253452304).

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

154220016 is a wasteful number, since it uses less digits than its factorization.

154220016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74773 (or 74767 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 154220016 is about 12418.5351793197. The cubic root of 154220016 is about 536.2659814517.

Adding to 154220016 its reverse (610022451), we get a palindrome (764242467).

The spelling of 154220016 in words is "one hundred fifty-four million, two hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 74719 149438 224157 298876 448314 597752 896628 1195504 1793256 3212917 3586512 6425834 9638751 12851668 19277502 25703336 38555004 51406672 77110008 154220016