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2245208292 = 22321771163317
BaseRepresentation
bin1000010111010011…
…0010100011100100
312210110202101202200
42011310302203210
514044233131132
61010442334500
7106431645525
oct20564624344
95713671680
102245208292
11a523a8248
12527aba430
1329a1cca22
1417428884c
15d219bd7c
hex85d328e4

2245208292 has 144 divisors (see below), whose sum is σ = 6150598272. Its totient is φ = 688020480.

The previous prime is 2245208281. The next prime is 2245208293. The reversal of 2245208292 is 2928025422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2245208293) 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, 7082518 + ... + 7082834.

It is an arithmetic number, because the mean of its divisors is an integer number (42712488).

Almost surely, 22245208292 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 2245208292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075299136).

2245208292 is an abundant number, since it is smaller than the sum of its proper divisors (3905389980).

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

2245208292 is a wasteful number, since it uses less digits than its factorization.

2245208292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2245208292 is about 47383.6289450270. The cubic root of 2245208292 is about 1309.4398265377.

The spelling of 2245208292 in words is "two billion, two hundred forty-five million, two hundred eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 163 204 213 284 306 317 326 426 489 612 634 639 652 852 951 978 1207 1268 1278 1467 1902 1956 2414 2556 2771 2853 2934 3621 3804 4828 5389 5542 5706 5868 7242 8313 10778 10863 11084 11412 11573 14484 16167 16626 21556 21726 22507 23146 24939 32334 33252 34719 43452 45014 46292 48501 49878 51671 64668 67521 69438 90028 97002 99756 103342 104157 135042 138876 155013 194004 196741 202563 206684 208314 270084 310026 382619 393482 405126 416628 465039 590223 620052 765238 786964 810252 878407 930078 1147857 1180446 1530476 1756814 1770669 1860156 2295714 2360892 2635221 3443571 3513628 3541338 3668641 4591428 5270442 6887142 7082676 7337282 7905663 10540884 11005923 13774284 14674564 15811326 22011846 31622652 33017769 44023692 62366897 66035538 124733794 132071076 187100691 249467588 374201382 561302073 748402764 1122604146 2245208292