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22241404320 = 253554438513
BaseRepresentation
bin10100101101101100…
…001110010110100000
32010102001010101221120
4110231230032112200
5331022244414240
614114554252240
71415106550242
oct245554162640
963361111846
1022241404320
119483769293
124388727080
132135b75095
14110dc60092
158a2915ad0
hex52db0e5a0

22241404320 has 96 divisors (see below), whose sum is σ = 70081526592. Its totient is φ = 5929254912.

The previous prime is 22241404309. The next prime is 22241404321. The reversal of 22241404320 is 2340414222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×222414043202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22241404321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2608384 + ... + 2616896.

It is an arithmetic number, because the mean of its divisors is an integer number (730015902).

Almost surely, 222241404320 is an apocalyptic number.

22241404320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22241404320 is an abundant number, since it is smaller than the sum of its proper divisors (47840122272).

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

22241404320 is a wasteful number, since it uses less digits than its factorization.

22241404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13974 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22241404320 its reverse (2340414222), we get a palindrome (24581818542).

The spelling of 22241404320 in words is "twenty-two billion, two hundred forty-one million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5443 8513 10886 16329 17026 21772 25539 27215 32658 34052 42565 43544 51078 54430 65316 68104 81645 85130 87088 102156 108860 127695 130632 136208 163290 170260 174176 204312 217720 255390 261264 272416 326580 340520 408624 435440 510780 522528 653160 681040 817248 870880 1021560 1306320 1362080 2043120 2612640 4086240 46336259 92672518 139008777 185345036 231681295 278017554 370690072 463362590 556035108 695043885 741380144 926725180 1112070216 1390087770 1482760288 1853450360 2224140432 2780175540 3706900720 4448280864 5560351080 7413801440 11120702160 22241404320