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1022250413232 = 24351943321817
BaseRepresentation
bin11101110000000101101…
…11110110110010110000
310121201121101111112100000
432320002313312302300
5113222032101210412
62101340530030000
7133566214100316
oct16700267666260
93551541445300
101022250413232
11364596787764
12146151718300
1375522c76329
14376975700b6
151b8ced5b4dc
hexee02df6cb0

1022250413232 has 240 divisors, whose sum is σ = 3195626994560. Its totient is φ = 315307593216.

The previous prime is 1022250413231. The next prime is 1022250413257. The reversal of 1022250413232 is 2323140522201.

1022250413232 is a `hidden beast` number, since 1 + 0 + 2 + 22 + 504 + 132 + 3 + 2 = 666.

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 = 1022250413196 and 1022250413205.

It is not an unprimeable number, because it can be changed into a prime (1022250413231) 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, 3015588 + ... + 3337404.

Almost surely, 21022250413232 is an apocalyptic number.

1022250413232 is a gapful number since it is divisible by the number (12) 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 1022250413232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597813497280).

1022250413232 is an abundant number, since it is smaller than the sum of its proper divisors (2173376581328).

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

1022250413232 is a wasteful number, since it uses less digits than its factorization.

1022250413232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321902 (or 321884 counting only the distinct ones).

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

Adding to 1022250413232 its reverse (2323140522201), we get a palindrome (3345390935433).

The spelling of 1022250413232 in words is "one trillion, twenty-two billion, two hundred fifty million, four hundred thirteen thousand, two hundred thirty-two".