Search a number
-
+
22547060490240 = 219325111341163
BaseRepresentation
bin1010010000001101001011…
…00010000000000000000000
32221211110220102010200011100
411020012211202000000000
510423402334441141430
6115541550540014400
74514654114664636
oct510064542000000
987743812120140
1022547060490240
117203177934160
122641930b31400
13c772427404b0
1457d3d80c3356
1529177a245960
hex1481a5880000

22547060490240 has 1920 divisors, whose sum is σ = 94644748598400. Its totient is φ = 4892236185600.

The previous prime is 22547060490223. The next prime is 22547060490319. The reversal of 22547060490240 is 4209406074522.

22547060490240 is a `hidden beast` number, since 2 + 2 + 54 + 70 + 6 + 0 + 490 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138325524399 + ... + 138325524561.

It is an arithmetic number, because the mean of its divisors is an integer number (49294139895).

Almost surely, 222547060490240 is an apocalyptic number.

22547060490240 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 22547060490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47322374299200).

22547060490240 is an abundant number, since it is smaller than the sum of its proper divisors (72097688108160).

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

22547060490240 is a wasteful number, since it uses less digits than its factorization.

22547060490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 22547060490240 in words is "twenty-two trillion, five hundred forty-seven billion, sixty million, four hundred ninety thousand, two hundred forty".