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34223221000 = 2353183118691
BaseRepresentation
bin11111110111110111…
…001110100100001000
310021100002000202110201
4133313313032210020
51030042121033000
623415534221544
72321040402343
oct376767164410
9107302022421
1034223221000
1113572130521
1267713548b4
1332c5311337
1419292a745a
15d5479396a
hex7f7dce908

34223221000 has 64 divisors (see below), whose sum is σ = 80130360960. Its totient is φ = 13681080000.

The previous prime is 34223220973. The next prime is 34223221007. The reversal of 34223221000 is 12232243.

It is a super-2 number, since 2×342232210002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34223221007) 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, 1821655 + ... + 1840345.

It is an arithmetic number, because the mean of its divisors is an integer number (1252036890).

Almost surely, 234223221000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34223221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40065180480).

34223221000 is an abundant number, since it is smaller than the sum of its proper divisors (45907139960).

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

34223221000 is a wasteful number, since it uses less digits than its factorization.

34223221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20543 (or 20529 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 34223221000 its reverse (12232243), we get a palindrome (34235453243).

The spelling of 34223221000 in words is "thirty-four billion, two hundred twenty-three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1831 3662 7324 9155 14648 18310 18691 36620 37382 45775 73240 74764 91550 93455 149528 183100 186910 228875 366200 373820 457750 467275 747640 915500 934550 1831000 1869100 2336375 3738200 4672750 9345500 18691000 34223221 68446442 136892884 171116105 273785768 342232210 684464420 855580525 1368928840 1711161050 3422322100 4277902625 6844644200 8555805250 17111610500 34223221000