Search a number
-
+
22271039004240 = 243251331591300921
BaseRepresentation
bin1010001000001011000010…
…10111100101111001010000
32220212002110000000100212100
411010011201113211321100
510404342041441113430
6115211101333400400
74456013052034335
oct504054127457120
986762400010770
1022271039004240
117107104a05384
1225b8339a99100
13c571c4627310
1456dcd17c698c
152894c2c31960
hex1441615e5e50

22271039004240 has 480 divisors, whose sum is σ = 84554518164480. Its totient is φ = 5215336243200.

The previous prime is 22271039004197. The next prime is 22271039004257. The reversal of 22271039004240 is 4240093017222.

It is a happy number.

22271039004240 is a `hidden beast` number, since 2 + 2 + 27 + 1 + 0 + 390 + 0 + 4 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22271039004195 and 22271039004204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16468980 + ... + 17769900.

It is an arithmetic number, because the mean of its divisors is an integer number (176155246176).

Almost surely, 222271039004240 is an apocalyptic number.

22271039004240 is a gapful number since it is divisible by the number (20) 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 22271039004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42277259082240).

22271039004240 is an abundant number, since it is smaller than the sum of its proper divisors (62283479160240).

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

22271039004240 is a wasteful number, since it uses less digits than its factorization.

22271039004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301043 (or 1301034 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 22271039004240 in words is "twenty-two trillion, two hundred seventy-one billion, thirty-nine million, four thousand, two hundred forty".