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2245201288 = 2311173148413
BaseRepresentation
bin1000010111010011…
…0000110110001000
312210110202001011021
42011310300312020
514044232420123
61010442242224
7106431616231
oct20564606610
95713661137
102245201288
11a523a2a60
12527ab6374
1329a1c9795
14174286088
15d2199c5d
hex85d30d88

2245201288 has 64 divisors (see below), whose sum is σ = 5019563520. Its totient is φ = 929510400.

The previous prime is 2245201267. The next prime is 2245201297. The reversal of 2245201288 is 8821025422.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22170 + ... + 70582.

It is an arithmetic number, because the mean of its divisors is an integer number (78430680).

Almost surely, 22245201288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245201288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509781760).

2245201288 is an abundant number, since it is smaller than the sum of its proper divisors (2774362232).

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

2245201288 is a wasteful number, since it uses less digits than its factorization.

2245201288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48478 (or 48474 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 2245201288 is about 47383.5550375866. Note that the first 3 decimals coincide. The cubic root of 2245201288 is about 1309.4384649230.

The spelling of 2245201288 in words is "two billion, two hundred forty-five million, two hundred one thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 187 248 341 374 527 682 748 1054 1364 1496 2108 2728 4216 5797 11594 23188 46376 48413 96826 193652 387304 532543 823021 1065086 1500803 1646042 2130172 3001606 3292084 4260344 6003212 6584168 9053231 12006424 16508833 18106462 25513651 33017666 36212924 51027302 66035332 72425848 102054604 132070664 204109208 280650161 561300322 1122600644 2245201288