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22201534314 = 23219149463941
BaseRepresentation
bin10100101011010100…
…001000011101101010
32010022021002210120200
4110223110020131222
5330432043044224
614111011533030
71414113633201
oct245324103552
963267083520
1022201534314
119463207373
1243772ba176
13212a82576b
141108842238
1589e18c5c9
hex52b50876a

22201534314 has 96 divisors (see below), whose sum is σ = 51139296000. Its totient is φ = 6941531520.

The previous prime is 22201534307. The next prime is 22201534361. The reversal of 22201534314 is 41343510222.

22201534314 is a `hidden beast` number, since 2 + 220 + 1 + 5 + 3 + 431 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23593084 + ... + 23594024.

It is an arithmetic number, because the mean of its divisors is an integer number (532701000).

Almost surely, 222201534314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201534314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25569648000).

22201534314 is an abundant number, since it is smaller than the sum of its proper divisors (28937761686).

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

22201534314 is a wasteful number, since it uses less digits than its factorization.

22201534314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 22201534314 in words is "twenty-two billion, two hundred one million, five hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 149 171 298 342 447 463 894 926 941 1341 1389 1882 2682 2778 2823 2831 4167 5646 5662 8334 8469 8493 8797 16938 16986 17594 17879 25479 26391 35758 50958 52782 53637 68987 79173 107274 137974 140209 158346 160911 206961 280418 321822 413922 420627 435683 620883 841254 871366 1241766 1261881 1307049 1310753 2523762 2614098 2621506 2663971 3921147 3932259 5327942 7842294 7864518 7991913 8277977 11796777 15983826 16555954 23593554 23975739 24833931 47951478 49667862 64916767 74501793 129833534 149003586 194750301 389500602 584250903 1168501806 1233418573 2466837146 3700255719 7400511438 11100767157 22201534314