Search a number
-
+
22289231061504 = 2933111797103863
BaseRepresentation
bin1010001000101100111011…
…01100110010001000000000
32220220211101211120121221000
411010112131230302020000
510410141321122432004
6115223310440332000
74460225632003221
oct504263554621000
986824354517830
1022289231061504
11711389a945250
1225bb976474000
13c58b33590844
14570b39929248
15289bd9dc5c39
hex14459db32200

22289231061504 has 1280 divisors, whose sum is σ = 77832778383360. Its totient is φ = 6223162245120.

The previous prime is 22289231061463. The next prime is 22289231061509. The reversal of 22289231061504 is 40516013298222.

22289231061504 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 9 + 23 + 1 + 0 + 615 + 0 + 4 = 666.

It is a super-2 number, since 2×222892310615042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22289231061504.

It is not an unprimeable number, because it can be changed into a prime (22289231061509) 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 127 ways as a sum of consecutive naturals, for example, 25827613777 + ... + 25827614639.

It is an arithmetic number, because the mean of its divisors is an integer number (60806858112).

Almost surely, 222289231061504 is an apocalyptic number.

22289231061504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22289231061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38916389191680).

22289231061504 is an abundant number, since it is smaller than the sum of its proper divisors (55543547321856).

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

22289231061504 is a wasteful number, since it uses less digits than its factorization.

22289231061504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22289231061504 in words is "twenty-two trillion, two hundred eighty-nine billion, two hundred thirty-one million, sixty-one thousand, five hundred four".