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22978140480 = 2633543127487
BaseRepresentation
bin10101011001100110…
…101001100101000000
32012022101102110222000
4111121212221211000
5334024400443410
614320033144000
71442263654131
oct253146514500
965271373860
1022978140480
11982161a049
1245533bb000
1322226a7539
14117da3bc88
158e7442dc0
hex5599a9940

22978140480 has 448 divisors, whose sum is σ = 83771719680. Its totient is φ = 5925685248.

The previous prime is 22978140439. The next prime is 22978140533. The reversal of 22978140480 is 8404187922.

22978140480 is a `hidden beast` number, since 2 + 2 + 97 + 81 + 4 + 0 + 480 = 666.

It is a super-2 number, since 2×229781404802 (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 47182797 + ... + 47183283.

Almost surely, 222978140480 is an apocalyptic number.

22978140480 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 22978140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41885859840).

22978140480 is an abundant number, since it is smaller than the sum of its proper divisors (60793579200).

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

22978140480 is a wasteful number, since it uses less digits than its factorization.

22978140480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 22978140480 in words is "twenty-two billion, nine hundred seventy-eight million, one hundred forty thousand, four hundred eighty".