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2245310400 = 26352467773
BaseRepresentation
bin1000010111010100…
…1011011111000000
312210110221120211110
42011311023133000
514044244413100
61010444443320
7106432552314
oct20565133700
95713846743
102245310400
11a52467a33
12527b49540
1329a237348
141742b3b44
15d21bc250
hex85d4b7c0

2245310400 has 84 divisors (see below), whose sum is σ = 7366504952. Its totient is φ = 598748160.

The previous prime is 2245310381. The next prime is 2245310453. The reversal of 2245310400 is 40135422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229087 + ... + 238686.

Almost surely, 22245310400 is an apocalyptic number.

2245310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245310400 is an abundant number, since it is smaller than the sum of its proper divisors (5121194552).

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

2245310400 is a wasteful number, since it uses less digits than its factorization.

2245310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467798 (or 467783 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2245310400 is about 47384.7063935190. The cubic root of 2245310400 is about 1309.4596765527.

Adding to 2245310400 its reverse (40135422), we get a palindrome (2285445822).

The spelling of 2245310400 in words is "two billion, two hundred forty-five million, three hundred ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 467773 935546 1403319 1871092 2338865 2806638 3742184 4677730 5613276 7016595 7484368 9355460 11226552 11694325 14033190 14968736 18710920 22453104 23388650 28066380 29937472 35082975 37421840 44906208 46777300 56132760 70165950 74843680 89812416 93554600 112265520 140331900 149687360 187109200 224531040 280663800 374218400 449062080 561327600 748436800 1122655200 2245310400