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22060668240 = 24325134750147
BaseRepresentation
bin10100100010111010…
…110001010101010000
32002221110001001122200
4110202322301111100
5330140012340430
614045020403200
71410453405012
oct244272612520
962843031580
1022060668240
1193a0743626
1243380a6500
1321075a4160
1410d3c541b2
15891b14460
hex522eb1550

22060668240 has 240 divisors, whose sum is σ = 81485284608. Its totient is φ = 5314673664.

The previous prime is 22060668233. The next prime is 22060668241. The reversal of 22060668240 is 4286606022.

22060668240 is a `hidden beast` number, since 2 + 2 + 0 + 606 + 6 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 22060668195 and 22060668204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22060668241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414847 + ... + 464993.

Almost surely, 222060668240 is an apocalyptic number.

22060668240 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 22060668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40742642304).

22060668240 is an abundant number, since it is smaller than the sum of its proper divisors (59424616368).

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

22060668240 is a wasteful number, since it uses less digits than its factorization.

22060668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50226 (or 50217 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22060668240 in words is "twenty-two billion, sixty million, six hundred sixty-eight thousand, two hundred forty".