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34213222300 = 22524726927061
BaseRepresentation
bin11111110111010001…
…000101011110011100
310021022101012202211111
4133313101011132130
51030032041103200
623414540031404
72320556406535
oct376721053634
9107271182744
1034213222300
1113567521334
126769b32564
1332c322024a
141927c2368c
15d5396b0ba
hex7f744579c

34213222300 has 72 divisors (see below), whose sum is σ = 76107003840. Its totient is φ = 13343827200.

The previous prime is 34213222297. The next prime is 34213222301. The reversal of 34213222300 is 322231243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213222301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1250770 + ... + 1277830.

It is an arithmetic number, because the mean of its divisors is an integer number (1057041720).

Almost surely, 234213222300 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 34213222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38053501920).

34213222300 is an abundant number, since it is smaller than the sum of its proper divisors (41893781540).

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

34213222300 is a wasteful number, since it uses less digits than its factorization.

34213222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27391 (or 27384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 34213222300 its reverse (322231243), we get a palindrome (34535453543).

The spelling of 34213222300 in words is "thirty-four billion, two hundred thirteen million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 269 470 538 940 1076 1175 1345 2350 2690 4700 5380 6725 12643 13450 25286 26900 27061 50572 54122 63215 108244 126430 135305 252860 270610 316075 541220 632150 676525 1264300 1271867 1353050 2543734 2706100 5087468 6359335 7279409 12718670 14558818 25437340 29117636 31796675 36397045 63593350 72794090 127186700 145588180 181985225 342132223 363970450 684264446 727940900 1368528892 1710661115 3421322230 6842644460 8553305575 17106611150 34213222300