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30212213200 = 24521321292729
BaseRepresentation
bin11100001000110010…
…011100100111010000
32212222112121110011021
4130020302130213100
5443333311310300
621513532325224
72116454401141
oct341062344720
985875543137
1030212213200
11118a4008a44
125a32013814
132b06337440
1416686c9ac8
15bbc596d1a
hex708c9c9d0

30212213200 has 120 divisors (see below), whose sum is σ = 78233664600. Its totient is φ = 11145953280.

The previous prime is 30212213197. The next prime is 30212213243. The reversal of 30212213200 is 231221203.

It can be written as a sum of positive squares in 12 ways, for example, as 8584393104 + 21627820096 = 92652^2 + 147064^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 11069436 + ... + 11072164.

It is an arithmetic number, because the mean of its divisors is an integer number (651947205).

Almost surely, 230212213200 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 30212213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39116832300).

30212213200 is an abundant number, since it is smaller than the sum of its proper divisors (48021451400).

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

30212213200 is a wasteful number, since it uses less digits than its factorization.

30212213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30212213200 its reverse (231221203), we get a palindrome (30443434403).

The spelling of 30212213200 in words is "thirty billion, two hundred twelve million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2129 2600 2729 4258 5200 5458 8516 10645 10916 13645 17032 21290 21832 27290 27677 34064 35477 42580 43664 53225 54580 55354 68225 70954 85160 106450 109160 110708 136450 138385 141908 170320 177385 212900 218320 221416 272900 276770 283816 354770 425800 442832 545800 553540 567632 691925 709540 851600 886925 1091600 1107080 1383850 1419080 1773850 2214160 2767700 2838160 3547700 5535400 5810041 7095400 11070800 11620082 14190800 23240164 29050205 46480328 58100410 75530533 92960656 116200820 145251025 151061066 232401640 290502050 302122132 377652665 464803280 581004100 604244264 755305330 1162008200 1208488528 1510610660 1888263325 2324016400 3021221320 3776526650 6042442640 7553053300 15106106600 30212213200