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215132420 = 22597173641
BaseRepresentation
bin11001101001010…
…10100100000100
3112222210212012102
430310222210010
5420033214140
633203011232
75221411136
oct1464524404
9488725172
10215132420
11100489198
1260069b18
1335754cb9
1420801056
1513d47e15
hexcd2a904

215132420 has 48 divisors (see below), whose sum is σ = 459790128. Its totient is φ = 84541440.

The previous prime is 215132419. The next prime is 215132441. The reversal of 215132420 is 24231512.

It can be written as a sum of positive squares in 8 ways, for example, as 29246464 + 185885956 = 5408^2 + 13634^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 215132392 and 215132401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335300 + ... + 335940.

It is an arithmetic number, because the mean of its divisors is an integer number (9578961).

Almost surely, 2215132420 is an apocalyptic number.

215132420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215132420 is an abundant number, since it is smaller than the sum of its proper divisors (244657708).

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

215132420 is a wasteful number, since it uses less digits than its factorization.

215132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 215132420 is about 14667.3930880712. The cubic root of 215132420 is about 599.1956072543.

Adding to 215132420 its reverse (24231512), we get a palindrome (239363932).

The spelling of 215132420 in words is "two hundred fifteen million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 97 173 194 346 388 485 641 692 865 970 1282 1730 1940 2564 3205 3460 6410 12820 16781 33562 62177 67124 83905 110893 124354 167810 221786 248708 310885 335620 443572 554465 621770 1108930 1243540 2217860 10756621 21513242 43026484 53783105 107566210 215132420