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215442520 = 23519674231
BaseRepresentation
bin11001101011101…
…10010001011000
3120000101121120121
430311312101120
5420123130040
633213403024
75224142206
oct1465662130
9500347517
10215442520
11100680177
1260199474
13358331a7
1420882076
1513da9c4a
hexcd76458

215442520 has 64 divisors (see below), whose sum is σ = 517996800. Its totient is φ = 80403840.

The previous prime is 215442517. The next prime is 215442553. The reversal of 215442520 is 25244512.

215442520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48805 + ... + 53035.

It is an arithmetic number, because the mean of its divisors is an integer number (8093700).

Almost surely, 2215442520 is an apocalyptic number.

215442520 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 215442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258998400).

215442520 is an abundant number, since it is smaller than the sum of its proper divisors (302554280).

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

215442520 is a wasteful number, since it uses less digits than its factorization.

215442520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 215442520 is about 14677.9603487678. The cubic root of 215442520 is about 599.4833700984.

The spelling of 215442520 in words is "two hundred fifteen million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 268 335 380 536 670 760 1273 1340 2546 2680 4231 5092 6365 8462 10184 12730 16924 21155 25460 33848 42310 50920 80389 84620 160778 169240 283477 321556 401945 566954 643112 803890 1133908 1417385 1607780 2267816 2834770 3215560 5386063 5669540 10772126 11339080 21544252 26930315 43088504 53860630 107721260 215442520