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215132841 = 34711172029
BaseRepresentation
bin11001101001010…
…10101010101001
3112222210212210000
430310222222221
5420033222331
633203013213
75221412310
oct1464525251
9488725700
10215132841
11100489540
126006a209
1335755251
1420801277
1513d480e6
hexcd2aaa9

215132841 has 80 divisors (see below), whose sum is σ = 424448640. Its totient is φ = 105131520.

The previous prime is 215132833. The next prime is 215132843. The reversal of 215132841 is 148231512.

215132841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 215132841 - 23 = 215132833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (215132843) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105015 + ... + 107043.

It is an arithmetic number, because the mean of its divisors is an integer number (5305608).

Almost surely, 2215132841 is an apocalyptic number.

215132841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

215132841 is a deficient number, since it is larger than the sum of its proper divisors (209315799).

215132841 is a wasteful number, since it uses less digits than its factorization.

215132841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2067 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 215132841 is about 14667.4074396261. The cubic root of 215132841 is about 599.1959981162.

The spelling of 215132841 in words is "two hundred fifteen million, one hundred thirty-two thousand, eight hundred forty-one".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 81 99 119 153 187 189 231 297 357 459 561 567 693 891 1071 1309 1377 1683 2029 2079 3213 3927 5049 6087 6237 9639 11781 14203 15147 18261 22319 34493 35343 42609 54783 66957 103479 106029 127827 156233 164349 200871 241451 310437 379423 383481 468699 602613 724353 931311 1138269 1150443 1406097 1807839 2173059 2655961 2793933 3414807 4218291 6519177 7967883 10244421 12654873 19557531 23903649 30733263 71710947 215132841