Search a number
-
+
22200020514 = 23373147173233
BaseRepresentation
bin10100101011001110…
…010110111000100010
32010022011020220001000
4110223032112320202
5330431201124024
614110515252430
71414065026610
oct245316267042
963264226030
1022200020514
119462372aa1
1243768aa116
13212a415719
14110856a6b0
1589de8dcc9
hex52b396e22

22200020514 has 256 divisors, whose sum is σ = 60038184960. Its totient is φ = 5947292160.

The previous prime is 22200020429. The next prime is 22200020533. The reversal of 22200020514 is 41502000222.

22200020514 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 95278942 + ... + 95279174.

It is an arithmetic number, because the mean of its divisors is an integer number (234524160).

Almost surely, 222200020514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200020514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30019092480).

22200020514 is an abundant number, since it is smaller than the sum of its proper divisors (37838164446).

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

22200020514 is a wasteful number, since it uses less digits than its factorization.

22200020514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 22200020514 its reverse (41502000222), we get a palindrome (63702020736).

The spelling of 22200020514 in words is "twenty-two billion, two hundred million, twenty thousand, five hundred fourteen".