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22233209985 = 3257436724499
BaseRepresentation
bin10100101101001100…
…111101110010000001
32010101110201002102200
4110231030331302001
5331013200204420
614114102503413
71414650111120
oct245514756201
963343632380
1022233209985
11947a081808
124385a34b69
13213426636c
14110cb29ab7
158a1d47b90
hex52d33dc81

22233209985 has 96 divisors (see below), whose sum is σ = 45741696000. Its totient is φ = 9778817664.

The previous prime is 22233209941. The next prime is 22233210001. The reversal of 22233209985 is 58990233222.

22233209985 is a `hidden beast` number, since 222 + 332 + 0 + 9 + 98 + 5 = 666.

It is not a de Polignac number, because 22233209985 - 210 = 22233208961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 22233209985.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895266 + ... + 919764.

It is an arithmetic number, because the mean of its divisors is an integer number (476476000).

Almost surely, 222233209985 is an apocalyptic number.

It is an amenable number.

22233209985 is an abundant number, since it is smaller than the sum of its proper divisors (23508486015).

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

22233209985 is a wasteful number, since it uses less digits than its factorization.

22233209985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24627 (or 24624 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 22233209985 in words is "twenty-two billion, two hundred thirty-three million, two hundred nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 67 105 129 201 215 301 315 335 387 469 603 645 903 1005 1407 1505 1935 2345 2709 2881 3015 4221 4515 7035 8643 13545 14405 20167 21105 24499 25929 43215 60501 73497 100835 122495 129645 171493 181503 220491 302505 367485 514479 857465 907515 1053457 1102455 1543437 1641433 2572395 3160371 4924299 5267285 7374199 7717185 8207165 9481113 11490031 14772897 15801855 22122597 24621495 34470093 36870995 47405565 57450155 66367791 70581619 73864485 103410279 110612985 172350465 211744857 331838955 352908095 494071333 517051395 635234571 1058724285 1482213999 2470356665 3176172855 4446641997 7411069995 22233209985