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2193257088 = 27341119231
BaseRepresentation
bin1000001010111010…
…0111001010000000
312122212000000010000
42002232213022000
513442433211323
61001345040000
7105231243351
oct20256471200
95585000100
102193257088
11a26044570
12512626000
1328c510479
1416b403d28
15cc838e43
hex82ba7280

2193257088 has 160 divisors (see below), whose sum is σ = 7120840320. Its totient is φ = 664588800.

The previous prime is 2193257081. The next prime is 2193257089. The reversal of 2193257088 is 8807523912.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2193257081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104433 + ... + 123663.

It is an arithmetic number, because the mean of its divisors is an integer number (44505252).

Almost surely, 22193257088 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 2193257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560420160).

2193257088 is an abundant number, since it is smaller than the sum of its proper divisors (4927583232).

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

2193257088 is a wasteful number, since it uses less digits than its factorization.

2193257088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19268 (or 19247 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2193257088 is about 46832.2227531429. Note that the first 3 decimals coincide. The cubic root of 2193257088 is about 1299.2613334226.

The spelling of 2193257088 in words is "two billion, one hundred ninety-three million, two hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 19231 28512 38016 38462 57024 57693 76924 114048 115386 153848 173079 211541 230772 307696 346158 423082 461544 519237 615392 634623 692316 846164 923088 1038474 1230784 1269246 1384632 1557711 1692328 1846176 1903869 2076948 2461568 2538492 2769264 3115422 3384656 3692352 3807738 4153896 5076984 5538528 5711607 6230844 6769312 7384704 7615476 8307792 10153968 11077056 11423214 12461688 13538624 15230952 16615584 17134821 20307936 22154112 22846428 24923376 27077248 30461904 33231168 34269642 40615872 45692856 49846752 60923808 66462336 68539284 81231744 91385712 99693504 121847616 137078568 182771424 199387008 243695232 274157136 365542848 548314272 731085696 1096628544 2193257088