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221331343000 = 23531633074423
BaseRepresentation
bin1100111000100001100…
…0000100011010011000
3210011021221222012000011
43032020120010122120
512111241310434000
6245402254451304
721663540242245
oct3161030043230
9704257865004
10221331343000
1185958855999
1236a8b503b34
1317b43787121
14a9d91265cc
155b560222ba
hex3388604698

221331343000 has 128 divisors (see below), whose sum is σ = 522908305920. Its totient is φ = 87682953600.

The previous prime is 221331342949. The next prime is 221331343001. The reversal of 221331343000 is 343133122.

221331343000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221331343001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50038789 + ... + 50043211.

It is an arithmetic number, because the mean of its divisors is an integer number (4085221140).

Almost surely, 2221331343000 is an apocalyptic number.

221331343000 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 221331343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261454152960).

221331343000 is an abundant number, since it is smaller than the sum of its proper divisors (301576962920).

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

221331343000 is a wasteful number, since it uses less digits than its factorization.

221331343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 221331343000 its reverse (343133122), we get a palindrome (221674476122).

The spelling of 221331343000 in words is "two hundred twenty-one billion, three hundred thirty-one million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 163 200 250 307 326 500 614 652 815 1000 1228 1304 1535 1630 2456 3070 3260 4075 4423 6140 6520 7675 8150 8846 12280 15350 16300 17692 20375 22115 30700 32600 35384 38375 40750 44230 50041 61400 76750 81500 88460 100082 110575 153500 163000 176920 200164 221150 250205 307000 400328 442300 500410 552875 720949 884600 1000820 1105750 1251025 1357861 1441898 2001640 2211500 2502050 2715722 2883796 3604745 4423000 5004100 5431444 5767592 6255125 6789305 7209490 10008200 10862888 12510250 13578610 14418980 18023725 25020500 27157220 28837960 33946525 36047450 50041000 54314440 67893050 72094900 90118625 135786100 144189800 169732625 180237250 221331343 271572200 339465250 360474500 442662686 678930500 720949000 885325372 1106656715 1357861000 1770650744 2213313430 4426626860 5533283575 8853253720 11066567150 22133134300 27666417875 44266268600 55332835750 110665671500 221331343000