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2250691380 = 2233574361227
BaseRepresentation
bin1000011000100110…
…1101001100110100
312210212001222011000
42012021231030310
514102134111010
61011200043300
7106526363310
oct20611551464
95725058130
102250691380
11a55502823
12529903530
1329b39c662
14174cb4b40
15d28d17c0
hex8626d334

2250691380 has 384 divisors, whose sum is σ = 8359464960. Its totient is φ = 492065280.

The previous prime is 2250691369. The next prime is 2250691411. The reversal of 2250691380 is 831960522.

It is a super-2 number, since 2×22506913802 = 10131223376012608800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9914827 + ... + 9915053.

It is an arithmetic number, because the mean of its divisors is an integer number (21769440).

Almost surely, 22250691380 is an apocalyptic number.

2250691380 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 2250691380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179732480).

2250691380 is an abundant number, since it is smaller than the sum of its proper divisors (6108773580).

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

2250691380 is a wasteful number, since it uses less digits than its factorization.

2250691380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2250691380 is about 47441.4521278597. The cubic root of 2250691380 is about 1310.5049002620.

The spelling of 2250691380 in words is "two billion, two hundred fifty million, six hundred ninety-one thousand, three hundred eighty".