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215344428000 = 25353138591607
BaseRepresentation
bin1100100010001110000…
…1110011001111100000
3202120211201112101120120
43020203201303033200
512012011133144000
6242532230240240
721362302302462
oct3104341631740
9676751471516
10215344428000
1183366352059
123589a4b6080
13173cb320180
14a5cbd62132
1559056216a0
hex32238733e0

215344428000 has 384 divisors, whose sum is σ = 761092899840. Its totient is φ = 52913203200.

The previous prime is 215344427989. The next prime is 215344428007. The reversal of 215344428000 is 824443512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215344428007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134003197 + ... + 134004803.

It is an arithmetic number, because the mean of its divisors is an integer number (1982012760).

Almost surely, 2215344428000 is an apocalyptic number.

215344428000 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 215344428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380546449920).

215344428000 is an abundant number, since it is smaller than the sum of its proper divisors (545748471840).

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

215344428000 is a wasteful number, since it uses less digits than its factorization.

215344428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 215344428000 in words is "two hundred fifteen billion, three hundred forty-four million, four hundred twenty-eight thousand".