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2243657900 = 22521159181191
BaseRepresentation
bin1000010110111011…
…1000000010101100
312210100211122000202
42011232320002230
514043334023100
61010345213032
7106412530451
oct20556700254
95710748022
102243657900
11a51539430
12527491178
13299aa9133
14173da3828
15d1e927d5
hex85bb80ac

2243657900 has 144 divisors (see below), whose sum is σ = 5459650560. Its totient is φ = 793440000.

The previous prime is 2243657893. The next prime is 2243657903. The reversal of 2243657900 is 97563422.

It is not an unprimeable number, because it can be changed into a prime (2243657903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11746805 + ... + 11746995.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 22243657900 is an apocalyptic number.

2243657900 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 2243657900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

2243657900 is an abundant number, since it is smaller than the sum of its proper divisors (3215992660).

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

2243657900 is a wasteful number, since it uses less digits than its factorization.

2243657900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 2243657900 is about 47367.2661233472. The cubic root of 2243657900 is about 1309.1383530230.

The spelling of 2243657900 in words is "two billion, two hundred forty-three million, six hundred fifty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 181 191 220 236 275 295 362 382 550 590 649 724 764 905 955 1100 1180 1298 1475 1810 1910 1991 2101 2596 2950 3245 3620 3820 3982 4202 4525 4775 5900 6490 7964 8404 9050 9550 9955 10505 10679 11269 12980 16225 18100 19100 19910 21010 21358 22538 32450 34571 39820 42020 42716 45076 49775 52525 53395 56345 64900 69142 99550 105050 106790 112690 117469 123959 138284 172855 199100 210100 213580 225380 234938 247918 266975 281725 345710 380281 469876 495836 533950 563450 587345 619795 691420 760562 864275 1067900 1126900 1174690 1239590 1521124 1728550 1901405 2039689 2349380 2479180 2936725 3098975 3457100 3802810 4079378 5873450 6197950 7605620 8158756 9507025 10198445 11746900 12395900 19014050 20396890 22436579 38028100 40793780 44873158 50992225 89746316 101984450 112182895 203968900 224365790 448731580 560914475 1121828950 2243657900