Search a number
-
+
22061452635040 = 2557133835139509
BaseRepresentation
bin1010000010000100101010…
…00011000010101110100000
32220010001110120021200000211
411001002111003002232200
510342423323333310130
6114530520314223504
74434613235221150
oct501022503025640
986101416250024
1022061452635040
117036233965105
1225837a7a24b94
13c40503222640
14563acc494760
15283d07da6a2a
hex1410950c2ba0

22061452635040 has 192 divisors, whose sum is σ = 64151212446720. Its totient is φ = 6981727334400.

The previous prime is 22061452635023. The next prime is 22061452635043. The reversal of 22061452635040 is 4053625416022.

It is a happy number.

22061452635040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220614526350402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22061452634984 and 22061452635002.

It is not an unprimeable number, because it can be changed into a prime (22061452635043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558370806 + ... + 558410314.

It is an arithmetic number, because the mean of its divisors is an integer number (334120898160).

Almost surely, 222061452635040 is an apocalyptic number.

22061452635040 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 22061452635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32075606223360).

22061452635040 is an abundant number, since it is smaller than the sum of its proper divisors (42089759811680).

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

22061452635040 is a wasteful number, since it uses less digits than its factorization.

22061452635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77895 (or 77887 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 22061452635040 in words is "twenty-two trillion, sixty-one billion, four hundred fifty-two million, six hundred thirty-five thousand, forty".