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2257355000 = 23542391889
BaseRepresentation
bin1000011010001100…
…1000000011111000
312211022121111220202
42012203020003320
514110340330000
61011554541332
7106640125625
oct20643100370
95738544822
102257355000
11a5924424a
1252bb97848
1329c893724
14175b2b34c
15d329add5
hex868c80f8

2257355000 has 80 divisors (see below), whose sum is σ = 5313924000. Its totient is φ = 898688000.

The previous prime is 2257354991. The next prime is 2257355017. The reversal of 2257355000 is 5537522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1194056 + ... + 1195944.

It is an arithmetic number, because the mean of its divisors is an integer number (66424050).

Almost surely, 22257355000 is an apocalyptic number.

2257355000 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 2257355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656962000).

2257355000 is an abundant number, since it is smaller than the sum of its proper divisors (3056569000).

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

2257355000 is a wasteful number, since it uses less digits than its factorization.

2257355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 29.

The square root of 2257355000 is about 47511.6301551525. The cubic root of 2257355000 is about 1311.7969628675.

The spelling of 2257355000 in words is "two billion, two hundred fifty-seven million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 239 250 478 500 625 956 1000 1195 1250 1889 1912 2390 2500 3778 4780 5000 5975 7556 9445 9560 11950 15112 18890 23900 29875 37780 47225 47800 59750 75560 94450 119500 149375 188900 236125 239000 298750 377800 451471 472250 597500 902942 944500 1180625 1195000 1805884 1889000 2257355 2361250 3611768 4514710 4722500 9029420 9445000 11286775 18058840 22573550 45147100 56433875 90294200 112867750 225735500 282169375 451471000 564338750 1128677500 2257355000