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34223215400 = 23521133146997
BaseRepresentation
bin11111110111110111…
…001101001100101000
310021100002000110210022
4133313313031030220
51030042120343100
623415534140012
72321040350123
oct376767151450
9107302013708
1034223215400
11135721272a0
126771351608
1332c530b91a
1419292a53ba
15d54791e85
hex7f7dcd328

34223215400 has 96 divisors (see below), whose sum is σ = 87066614880. Its totient is φ = 12406944000.

The previous prime is 34223215357. The next prime is 34223215471. The reversal of 34223215400 is 451232243.

It is a self number, because there is not a number n which added to its sum of digits gives 34223215400.

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, 704702 + ... + 751698.

It is an arithmetic number, because the mean of its divisors is an integer number (906943905).

Almost surely, 234223215400 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 34223215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43533307440).

34223215400 is an abundant number, since it is smaller than the sum of its proper divisors (52843399480).

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

34223215400 is a wasteful number, since it uses less digits than its factorization.

34223215400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47355 (or 47346 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 34223215400 its reverse (451232243), we get a palindrome (34674447643).

The spelling of 34223215400 in words is "thirty-four billion, two hundred twenty-three million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 331 440 550 662 1100 1324 1655 2200 2648 3310 3641 6620 7282 8275 13240 14564 16550 18205 29128 33100 36410 46997 66200 72820 91025 93994 145640 182050 187988 234985 364100 375976 469970 516967 728200 939940 1033934 1174925 1879880 2067868 2349850 2584835 4135736 4699700 5169670 9399400 10339340 12924175 15556007 20678680 25848350 31112014 51696700 62224028 77780035 103393400 124448056 155560070 171116077 311120140 342232154 388900175 622240280 684464308 777800350 855580385 1368928616 1555600700 1711160770 3111201400 3422321540 4277901925 6844643080 8555803850 17111607700 34223215400