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2252350000 = 2455107421
BaseRepresentation
bin1000011001000000…
…0010001000110000
312210222012020100101
42012100002020300
514103100200000
61011255402144
7106546442035
oct20620021060
95728166311
102252350000
11a5643598a
1252a383354
1329b8305a4
141751c738c
15d2b0ce6a
hex86402230

2252350000 has 120 divisors (see below), whose sum is σ = 5518615536. Its totient is φ = 890400000.

The previous prime is 2252349997. The next prime is 2252350021. The reversal of 2252350000 is 532522.

It is a self number, because there is not a number n which added to its sum of digits gives 2252350000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5349790 + ... + 5350210.

Almost surely, 22252350000 is an apocalyptic number.

2252350000 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 2252350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759307768).

2252350000 is an abundant number, since it is smaller than the sum of its proper divisors (3266265536).

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

2252350000 is an equidigital number, since it uses as much as digits as its factorization.

2252350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 2252350000 is about 47458.9296128769. The cubic root of 2252350000 is about 1310.8267415019.

Adding to 2252350000 its reverse (532522), we get a palindrome (2252882522).

The spelling of 2252350000 in words is "two billion, two hundred fifty-two million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 421 428 500 535 625 842 856 1000 1070 1250 1684 1712 2000 2105 2140 2500 2675 3125 3368 4210 4280 5000 5350 6250 6736 8420 8560 10000 10525 10700 12500 13375 16840 21050 21400 25000 26750 33680 42100 42800 45047 50000 52625 53500 66875 84200 90094 105250 107000 133750 168400 180188 210500 214000 225235 263125 267500 334375 360376 421000 450470 526250 535000 668750 720752 842000 900940 1052500 1070000 1126175 1315625 1337500 1801880 2105000 2252350 2631250 2675000 3603760 4210000 4504700 5262500 5350000 5630875 9009400 10525000 11261750 18018800 21050000 22523500 28154375 45047000 56308750 90094000 112617500 140771875 225235000 281543750 450470000 563087500 1126175000 2252350000