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22235023112040 = 2333579892928173
BaseRepresentation
bin1010000111000111111101…
…01001110111011101101000
32220201122110222202110211000
411003203332221313131220
510403244311404041130
6115142343440035000
74453266413020224
oct503437651673550
986648428673730
1022235023112040
1170a2902976512
1225b1368302a60
13c539a4ac09bb
1456c2763d3784
152885b5dd1260
hex1438fea77768

22235023112040 has 256 divisors, whose sum is σ = 75898270080000. Its totient is φ = 5788504111104.

The previous prime is 22235023112021. The next prime is 22235023112059. The reversal of 22235023112040 is 4021132053222.

22235023112040 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 502 + 3 + 112 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22235023112021) and next prime (22235023112059).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22235023111995 and 22235023112013.

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, 6129394 + ... + 9057566.

It is an arithmetic number, because the mean of its divisors is an integer number (296477617500).

Almost surely, 222235023112040 is an apocalyptic number.

22235023112040 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 22235023112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37949135040000).

22235023112040 is an abundant number, since it is smaller than the sum of its proper divisors (53663246967960).

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

22235023112040 is a wasteful number, since it uses less digits than its factorization.

22235023112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928361 (or 2928351 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22235023112040 its reverse (4021132053222), we get a palindrome (26256155165262).

The spelling of 22235023112040 in words is "twenty-two trillion, two hundred thirty-five billion, twenty-three million, one hundred twelve thousand, forty".