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22234041200 = 2452722973457
BaseRepresentation
bin10100101101010000…
…001000101101110000
32010101112021022122102
4110231100020231300
5331013403304300
614114132355532
71414660142360
oct245520105560
963345238572
1022234041200
11947a59a268
124386175ba8
1321344977c7
14110cca49a0
158a1e5e0d5
hex52d408b70

22234041200 has 120 divisors (see below), whose sum is σ = 61092568992. Its totient is φ = 7617576960.

The previous prime is 22234041173. The next prime is 22234041223. The reversal of 22234041200 is 214043222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6429872 + ... + 6433328.

Almost surely, 222234041200 is an apocalyptic number.

22234041200 is a gapful number since it is divisible by the number (20) 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 22234041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30546284496).

22234041200 is an abundant number, since it is smaller than the sum of its proper divisors (38858527792).

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

22234041200 is a wasteful number, since it uses less digits than its factorization.

22234041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22234041200 its reverse (214043222), we get a palindrome (22448084422).

The spelling of 22234041200 in words is "twenty-two billion, two hundred thirty-four million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2297 2800 3457 4594 6914 9188 11485 13828 16079 17285 18376 22970 24199 27656 32158 34570 36752 45940 48398 55312 57425 64316 69140 80395 86425 91880 96796 114850 120995 128632 138280 160790 172850 183760 193592 229700 241990 257264 276560 321580 345700 387184 401975 459400 483980 604975 643160 691400 803950 918800 967960 1209950 1286320 1382800 1607900 1935920 2419900 3215800 4839800 6431600 7940729 9679600 15881458 31762916 39703645 55585103 63525832 79407290 111170206 127051664 158814580 198518225 222340412 277925515 317629160 397036450 444680824 555851030 635258320 794072900 889361648 1111702060 1389627575 1588145800 2223404120 2779255150 3176291600 4446808240 5558510300 11117020600 22234041200