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21521447200 = 2552112222329
BaseRepresentation
bin10100000010110001…
…110011100100100000
32001112212101210110001
4110002301303210200
5323033442302300
613515315145344
71361215166011
oct240261634440
961485353401
1021521447200
119144328900
1242075a5254
13204c968c56
1410823ad008
1585e60016a
hex502c73920

21521447200 has 108 divisors (see below), whose sum is σ = 57749995170. Its totient is φ = 7825945600.

The previous prime is 21521447197. The next prime is 21521447221. The reversal of 21521447200 is 274412512.

It can be written as a sum of positive squares in 3 ways, for example, as 15059216656 + 6462230544 = 122716^2 + 80388^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14365 + ... + 207964.

Almost surely, 221521447200 is an apocalyptic number.

21521447200 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 21521447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28874997585).

21521447200 is an abundant number, since it is smaller than the sum of its proper divisors (36228547970).

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

21521447200 is a wasteful number, since it uses less digits than its factorization.

21521447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222371 (or 222347 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 21521447200 its reverse (274412512), we get a palindrome (21795859712).

The spelling of 21521447200 in words is "twenty-one billion, five hundred twenty-one million, four hundred forty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 160 176 200 220 242 275 352 400 440 484 550 605 800 880 968 1100 1210 1760 1936 2200 2420 3025 3872 4400 4840 6050 8800 9680 12100 19360 24200 48400 96800 222329 444658 889316 1111645 1778632 2223290 2445619 3557264 4446580 4891238 5558225 7114528 8893160 9782476 11116450 12228095 17786320 19564952 22232900 24456190 26901809 35572640 39129904 44465800 48912380 53803618 61140475 78259808 88931600 97824760 107607236 122280950 134509045 177863200 195649520 215214472 244561900 269018090 391299040 430428944 489123800 538036180 672545225 860857888 978247600 1076072360 1345090450 1956495200 2152144720 2690180900 4304289440 5380361800 10760723600 21521447200