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2252045400 = 2335211341219
BaseRepresentation
bin1000011000111011…
…0111110001011000
312210221121202111220
42012032313301120
514103010423100
61011245052040
7106544033013
oct20616676130
95727552456
102252045400
11a56248050
1252a257020
1329b754a57
1417514837a
15d2a9caa0
hex863b7c58

2252045400 has 96 divisors (see below), whose sum is σ = 7616030400. Its totient is φ = 545948800.

The previous prime is 2252045381. The next prime is 2252045443. The reversal of 2252045400 is 45402522.

It is a happy number.

2252045400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22520454002 = 10143416967322320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 164010 + ... + 177209.

It is an arithmetic number, because the mean of its divisors is an integer number (79333650).

Almost surely, 22252045400 is an apocalyptic number.

2252045400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252045400 is an abundant number, since it is smaller than the sum of its proper divisors (5363985000).

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

2252045400 is a wasteful number, since it uses less digits than its factorization.

2252045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341249 (or 341240 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2252045400 is about 47455.7204138763. The cubic root of 2252045400 is about 1310.7676482843.

Adding to 2252045400 its reverse (45402522), we get a palindrome (2297447922).

The spelling of 2252045400 in words is "two billion, two hundred fifty-two million, forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 341219 682438 1023657 1364876 1706095 2047314 2729752 3412190 3753409 4094628 5118285 6824380 7506818 8189256 8530475 10236570 11260227 13648760 15013636 17060950 18767045 20473140 22520454 25591425 30027272 34121900 37534090 40946280 45040908 51182850 56301135 68243800 75068180 90081816 93835225 102365700 112602270 150136360 187670450 204731400 225204540 281505675 375340900 450409080 563011350 750681800 1126022700 2252045400