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205114248 = 23331783673
BaseRepresentation
bin11000011100111…
…00101110001000
3112021221212212000
430032130232020
5410002123443
632204151000
75040304503
oct1416345610
9467855760
10205114248
11a5866409
1258838460
13336580a1
141d35413a
15130198d3
hexc39cb88

205114248 has 128 divisors (see below), whose sum is σ = 611452800. Its totient is φ = 63479808.

The previous prime is 205114241. The next prime is 205114277. The reversal of 205114248 is 842411502.

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 (205114241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304440 + ... + 305112.

It is an arithmetic number, because the mean of its divisors is an integer number (4776975).

Almost surely, 2205114248 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 205114248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305726400).

205114248 is an abundant number, since it is smaller than the sum of its proper divisors (406338552).

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

205114248 is a wasteful number, since it uses less digits than its factorization.

205114248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 205114248 is about 14321.8102207787. The cubic root of 205114248 is about 589.7463699659.

The spelling of 205114248 in words is "two hundred five million, one hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 83 102 108 136 153 166 204 216 249 306 332 408 459 498 612 664 673 747 918 996 1224 1346 1411 1494 1836 1992 2019 2241 2692 2822 2988 3672 4038 4233 4482 5384 5644 5976 6057 8076 8466 8964 11288 11441 12114 12699 16152 16932 17928 18171 22882 24228 25398 33864 34323 36342 38097 45764 48456 50796 55859 68646 72684 76194 91528 101592 102969 111718 137292 145368 152388 167577 205938 223436 274584 304776 308907 335154 411876 446872 502731 617814 670308 823752 949603 1005462 1235628 1340616 1508193 1899206 2010924 2471256 2848809 3016386 3798412 4021848 5697618 6032772 7596824 8546427 11395236 12065544 17092854 22790472 25639281 34185708 51278562 68371416 102557124 205114248