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22024465216 = 2613229115597
BaseRepresentation
bin10100100000110000…
…101010101101000000
32002211220220202102221
4110200300222231000
5330101230341331
614041244420424
71406533602565
oct244060525500
962756822387
1022024465216
119382266776
124327b47714
1320ccc39950
1410cd10c86c
1588d862711
hex520c2ab40

22024465216 has 56 divisors (see below), whose sum is σ = 47272646120. Its totient is φ = 10120660992.

The previous prime is 22024465213. The next prime is 22024465237. The reversal of 22024465216 is 61256442022.

It can be written as a sum of positive squares in 4 ways, for example, as 10754519616 + 11269945600 = 103704^2 + 106160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22024465213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132730 + ... + 248326.

It is an arithmetic number, because the mean of its divisors is an integer number (844154395).

Almost surely, 222024465216 is an apocalyptic number.

22024465216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22024465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23636323060).

22024465216 is an abundant number, since it is smaller than the sum of its proper divisors (25248180904).

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

22024465216 is a wasteful number, since it uses less digits than its factorization.

22024465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115851 (or 115841 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 22024465216 in words is "twenty-two billion, twenty-four million, four hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 229 416 458 832 916 1832 2977 3664 5954 7328 11908 14656 23816 47632 95264 115597 190528 231194 462388 924776 1502761 1849552 3005522 3699104 6011044 7398208 12022088 24044176 26471713 48088352 52943426 96176704 105886852 211773704 344132269 423547408 688264538 847094816 1376529076 1694189632 2753058152 5506116304 11012232608 22024465216