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215505090 = 233517291619
BaseRepresentation
bin11001101100001…
…01100011000010
3120000111210102000
430312011203002
5420132130330
633215004430
75224522503
oct1466054302
9500453360
10215505090
11100713189
1260209716
1335855808
142089abaa
1513dbd560
hexcd858c2

215505090 has 128 divisors (see below), whose sum is σ = 629856000. Its totient is φ = 52190208.

The previous prime is 215505077. The next prime is 215505133. The reversal of 215505090 is 90505512.

215505090 is a `hidden beast` number, since 2 + 155 + 0 + 509 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132301 + ... + 133919.

It is an arithmetic number, because the mean of its divisors is an integer number (4920750).

Almost surely, 2215505090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215505090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314928000).

215505090 is an abundant number, since it is smaller than the sum of its proper divisors (414350910).

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

215505090 is a wasteful number, since it uses less digits than its factorization.

215505090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 215505090 is about 14680.0916209675. The cubic root of 215505090 is about 599.5413995654.

The spelling of 215505090 in words is "two hundred fifteen million, five hundred five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 29 30 34 45 51 54 58 85 87 90 102 135 145 153 170 174 255 261 270 290 306 435 459 493 510 522 765 783 870 918 986 1305 1479 1530 1566 1619 2295 2465 2610 2958 3238 3915 4437 4590 4857 4930 7395 7830 8095 8874 9714 13311 14571 14790 16190 22185 24285 26622 27523 29142 43713 44370 46951 48570 55046 66555 72855 82569 87426 93902 133110 137615 140853 145710 165138 218565 234755 247707 275230 281706 412845 422559 437130 469510 495414 704265 743121 798167 825690 845118 1238535 1267677 1408530 1486242 1596334 2112795 2394501 2477070 2535354 3715605 3990835 4225590 4789002 6338385 7183503 7431210 7981670 11972505 12676770 14367006 21550509 23945010 35917515 43101018 71835030 107752545 215505090