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215028192 = 25367101331
BaseRepresentation
bin11001101000100…
…01000111100000
3112222121120020010
430310101013200
5420021400232
633200444520
75220465231
oct1464210740
9488546203
10215028192
11100417955
1260019740
1335719722
14207b5088
1513d270cc
hexcd111e0

215028192 has 96 divisors (see below), whose sum is σ = 580293504. Its totient is φ = 69696000.

The previous prime is 215028169. The next prime is 215028197. The reversal of 215028192 is 291820512.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215028197) by changing a digit.

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, 649467 + ... + 649797.

It is an arithmetic number, because the mean of its divisors is an integer number (6044724).

Almost surely, 2215028192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215028192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290146752).

215028192 is an abundant number, since it is smaller than the sum of its proper divisors (365265312).

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

215028192 is a wasteful number, since it uses less digits than its factorization.

215028192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 215028192 is about 14663.8396063241. The cubic root of 215028192 is about 599.0988249279.

The spelling of 215028192 in words is "two hundred fifteen million, twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 101 134 201 202 268 303 331 402 404 536 606 662 804 808 993 1072 1212 1324 1608 1616 1986 2144 2424 2648 3216 3232 3972 4848 5296 6432 6767 7944 9696 10592 13534 15888 20301 22177 27068 31776 33431 40602 44354 54136 66531 66862 81204 88708 100293 108272 133062 133724 162408 177416 200586 216544 266124 267448 324816 354832 401172 532248 534896 649632 709664 802344 1064496 1069792 1604688 2128992 2239877 3209376 4479754 6719631 8959508 13439262 17919016 26878524 35838032 53757048 71676064 107514096 215028192