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2154222000 = 243353741139
BaseRepresentation
bin1000000001100110…
…1101000110110000
312120010112211001000
42000121231012300
513402440101000
6553432242000
7104245404420
oct20031550660
95503484030
102154222000
11a06002967
12501540300
132843c3b98
14166162480
15c91c8000
hex8066d1b0

2154222000 has 640 divisors, whose sum is σ = 9099417600. Its totient is φ = 476928000.

The previous prime is 2154221987. The next prime is 2154222061. The reversal of 2154222000 is 2224512.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15497931 + ... + 15498069.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 22154222000 is an apocalyptic number.

2154222000 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 2154222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549708800).

2154222000 is an abundant number, since it is smaller than the sum of its proper divisors (6945195600).

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

2154222000 is a wasteful number, since it uses less digits than its factorization.

2154222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2154222000 is about 46413.5971456641. The cubic root of 2154222000 is about 1291.5071621748.

Adding to 2154222000 its reverse (2224512), we get a palindrome (2156446512).

The spelling of 2154222000 in words is "two billion, one hundred fifty-four million, two hundred twenty-two thousand".