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215045400 = 233522315583
BaseRepresentation
bin11001101000101…
…01010100011000
3112222122102211110
430310111110120
5420022423100
633201100320
75220566343
oct1464252430
9488572743
10215045400
11100429879
12600276a0
13357244cb
14207bb45a
1513d2c250
hexcd15518

215045400 has 96 divisors (see below), whose sum is σ = 695669760. Its totient is φ = 54848640.

The previous prime is 215045387. The next prime is 215045491. The reversal of 215045400 is 4540512.

It is a super-2 number, since 2×2150454002 = 92489048122320000, which contains 22 as substring.

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, 6009 + ... + 21591.

It is an arithmetic number, because the mean of its divisors is an integer number (7246560).

Almost surely, 2215045400 is an apocalyptic number.

215045400 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 215045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347834880).

215045400 is an abundant number, since it is smaller than the sum of its proper divisors (480624360).

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

215045400 is a wasteful number, since it uses less digits than its factorization.

215045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15625 (or 15616 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 215045400 is about 14664.4263440477. The cubic root of 215045400 is about 599.1148058054.

Adding to 215045400 its reverse (4540512), we get a palindrome (219585912).

The spelling of 215045400 in words is "two hundred fifteen million, forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 15583 31166 46749 62332 77915 93498 124664 155830 186996 233745 311660 358409 373992 389575 467490 623320 716818 779150 934980 1075227 1168725 1433636 1558300 1792045 1869960 2150454 2337450 2867272 3116600 3584090 4300908 4674900 5376135 7168180 8601816 8960225 9349800 10752270 14336360 17920450 21504540 26880675 35840900 43009080 53761350 71681800 107522700 215045400