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2220021452000 = 25531164178713
BaseRepresentation
bin100000010011100011100…
…101110000110011100000
321212020021010000200022202
4200103203211300303200
5242333100442431000
64415510324152332
7316251125663162
oct40234345606340
97766233020282
102220021452000
11786562263230
122ba3088386a8
1313146882c461
1479641a3c932
153cb34008dd5
hex204e3970ce0

2220021452000 has 192 divisors, whose sum is σ = 5959823583168. Its totient is φ = 806010880000.

The previous prime is 2220021451997. The next prime is 2220021452039. The reversal of 2220021452000 is 2541200222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28164644 + ... + 28243356.

It is an arithmetic number, because the mean of its divisors is an integer number (31040747829).

Almost surely, 22220021452000 is an apocalyptic number.

2220021452000 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 2220021452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979911791584).

2220021452000 is an abundant number, since it is smaller than the sum of its proper divisors (3739802131168).

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

2220021452000 is a wasteful number, since it uses less digits than its factorization.

2220021452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79390 (or 79372 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2220021452000 its reverse (2541200222), we get a palindrome (2222562652222).

The spelling of 2220021452000 in words is "two trillion, two hundred twenty billion, twenty-one million, four hundred fifty-two thousand".