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215332080 = 24351814957
BaseRepresentation
bin11001101010110…
…11010011110000
3120000012000002020
430311123103300
5420111111310
633211151440
75223202215
oct1465332360
9500160066
10215332080
111006051a7
1260145580
13357c4b42
1420853b0c
1513d87170
hexcd5b4f0

215332080 has 80 divisors (see below), whose sum is σ = 671352864. Its totient is φ = 57093120.

The previous prime is 215332067. The next prime is 215332087. The reversal of 215332080 is 80233512.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 215332080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215332087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40962 + ... + 45918.

Almost surely, 2215332080 is an apocalyptic number.

215332080 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 215332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335676432).

215332080 is an abundant number, since it is smaller than the sum of its proper divisors (456020784).

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

215332080 is a wasteful number, since it uses less digits than its factorization.

215332080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 215332080 is about 14674.1977634213. The cubic root of 215332080 is about 599.3809170023.

Adding to 215332080 its reverse (80233512), we get a palindrome (295565592).

The spelling of 215332080 in words is "two hundred fifteen million, three hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 2172 2715 2896 3620 4344 4957 5430 7240 8688 9914 10860 14480 14871 19828 21720 24785 29742 39656 43440 49570 59484 74355 79312 99140 118968 148710 198280 237936 297420 396560 594840 897217 1189680 1794434 2691651 3588868 4486085 5383302 7177736 8972170 10766604 13458255 14355472 17944340 21533208 26916510 35888680 43066416 53833020 71777360 107666040 215332080