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202281696 = 253231139163
BaseRepresentation
bin11000000111010…
…01001011100000
3112002121222022200
430003221023200
5403241003241
632023333200
75004236361
oct1403511340
9462558280
10202281696
11a4201261
12578b1200
1332ba5a16
141cc17b68
1512b5a4b6
hexc0e92e0

202281696 has 144 divisors (see below), whose sum is σ = 601735680. Its totient is φ = 64385280.

The previous prime is 202281679. The next prime is 202281697. The reversal of 202281696 is 696182202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 202281696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202281697) 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 23 ways as a sum of consecutive naturals, for example, 1240911 + ... + 1241073.

It is an arithmetic number, because the mean of its divisors is an integer number (4178720).

Almost surely, 2202281696 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 202281696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300867840).

202281696 is an abundant number, since it is smaller than the sum of its proper divisors (399453984).

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

202281696 is a wasteful number, since it uses less digits than its factorization.

202281696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 202281696 is about 14222.5769816865. The cubic root of 202281696 is about 587.0190502346.

The spelling of 202281696 in words is "two hundred two million, two hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 139 144 163 186 248 278 279 288 326 372 417 489 496 556 558 652 744 834 978 992 1112 1116 1251 1304 1467 1488 1668 1956 2224 2232 2502 2608 2934 2976 3336 3912 4309 4448 4464 5004 5053 5216 5868 6672 7824 8618 8928 10008 10106 11736 12927 13344 15159 15648 17236 20016 20212 22657 23472 25854 30318 34472 38781 40032 40424 45314 45477 46944 51708 60636 67971 68944 77562 80848 90628 90954 103416 121272 135942 137888 155124 161696 181256 181908 203913 206832 242544 271884 310248 362512 363816 407826 413664 485088 543768 620496 702367 725024 727632 815652 1087536 1240992 1404734 1455264 1631304 2107101 2175072 2809468 3262608 4214202 5618936 6321303 6525216 8428404 11237872 12642606 16856808 22475744 25285212 33713616 50570424 67427232 101140848 202281696