Search a number
-
+
2245012213200 = 243526133051947
BaseRepresentation
bin100000101010110101001…
…001111100110111010000
321221121202202112212212220
4200222311021330313100
5243240241111310300
64435202215021040
7321124331645241
oct40526511746720
97847682485786
102245012213200
11796116959a89
1230312206a780
1313391c17c713
147a932a9ccc8
153d5e7ea3da0
hex20ab527cdd0

2245012213200 has 120 divisors (see below), whose sum is σ = 7203256500768. Its totient is φ = 597693104640.

The previous prime is 2245012213183. The next prime is 2245012213237. The reversal of 2245012213200 is 23122105422.

It is a tau number, because it is divible by the number of its divisors (120).

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, 790374 + ... + 2261573.

Almost surely, 22245012213200 is an apocalyptic number.

2245012213200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245012213200 is an abundant number, since it is smaller than the sum of its proper divisors (4958244287568).

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

2245012213200 is a wasteful number, since it uses less digits than its factorization.

2245012213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052581 (or 3052570 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2245012213200 its reverse (23122105422), we get a palindrome (2268134318622).

The spelling of 2245012213200 in words is "two trillion, two hundred forty-five billion, twelve million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 613 1200 1226 1839 2452 3065 3678 4904 6130 7356 9195 9808 12260 14712 15325 18390 24520 29424 30650 36780 45975 49040 61300 73560 91950 122600 147120 183900 245200 367800 735600 3051947 6103894 9155841 12207788 15259735 18311682 24415576 30519470 36623364 45779205 48831152 61038940 73246728 76298675 91558410 122077880 146493456 152597350 183116820 228896025 244155760 305194700 366233640 457792050 610389400 732467280 915584100 1220778800 1831168200 1870843511 3662336400 3741687022 5612530533 7483374044 9354217555 11225061066 14966748088 18708435110 22450122132 28062652665 29933496176 37416870220 44900244264 46771087775 56125305330 74833740440 89800488528 93542175550 112250610660 140313263325 149667480880 187084351100 224501221320 280626526650 374168702200 449002442640 561253053300 748337404400 1122506106600 2245012213200