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2254122000 = 24335313319
BaseRepresentation
bin1000011001011011…
…0010110000010000
312211002112021002000
42012112302300100
514104023401000
61011401354000
7106600502154
oct20626626020
95732467060
102254122000
11a57436249
1252aa98900
1329c001000
14175529064
15d2d5d000
hex865b2c10

2254122000 has 640 divisors, whose sum is σ = 9207744000. Its totient is φ = 525657600.

The previous prime is 2254121971. The next prime is 2254122043. The reversal of 2254122000 is 2214522.

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, 118637991 + ... + 118638009.

It is an arithmetic number, because the mean of its divisors is an integer number (14387100).

Almost surely, 22254122000 is an apocalyptic number.

2254122000 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 2254122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603872000).

2254122000 is an abundant number, since it is smaller than the sum of its proper divisors (6953622000).

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

2254122000 is a wasteful number, since it uses less digits than its factorization.

2254122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

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

The square root of 2254122000 is about 47477.5947158236. The cubic root of 2254122000 is about 1311.1704086516.

Adding to 2254122000 its reverse (2214522), we get a palindrome (2256336522).

The spelling of 2254122000 in words is "two billion, two hundred fifty-four million, one hundred twenty-two thousand".