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42022212000 = 253534185411
BaseRepresentation
bin100111001000101110…
…000001000110100000
311000110121012112212020
4213020232001012200
51142030141241000
631145453501440
73015230623416
oct471056010640
9130417175766
1042022212000
111690449692a
1281891a1880
133c69005b02
142068da92b6
15115e2d5ba0
hex9c8b811a0

42022212000 has 192 divisors, whose sum is σ = 141024094848. Its totient is φ = 10932480000.

The previous prime is 42022211969. The next prime is 42022212007. The reversal of 42022212000 is 21222024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (42022212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449295 + ... + 534705.

It is an arithmetic number, because the mean of its divisors is an integer number (734500494).

Almost surely, 242022212000 is an apocalyptic number.

42022212000 is a gapful number since it is divisible by the number (40) 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 42022212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70512047424).

42022212000 is an abundant number, since it is smaller than the sum of its proper divisors (99001882848).

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

42022212000 is a wasteful number, since it uses less digits than its factorization.

42022212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85480 (or 85462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 42022212000 its reverse (21222024), we get a palindrome (42043434024).

The spelling of 42022212000 in words is "forty-two billion, twenty-two million, two hundred twelve thousand".