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202270896 = 243217531559
BaseRepresentation
bin11000000111001…
…10100010110000
3112002121102111200
430003212202300
5403240132041
632023211200
75004163032
oct1403464260
9462542450
10202270896
11a41a4133
12578a6b00
1332ba0b29
141cc13c52
1512b571b6
hexc0e68b0

202270896 has 120 divisors (see below), whose sum is σ = 611076960. Its totient is φ = 62220288.

The previous prime is 202270883. The next prime is 202270907. The reversal of 202270896 is 698072202.

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 202270896.

It is an unprimeable number.

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, 128965 + ... + 130523.

It is an arithmetic number, because the mean of its divisors is an integer number (5092308).

Almost surely, 2202270896 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 202270896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305538480).

202270896 is an abundant number, since it is smaller than the sum of its proper divisors (408806064).

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

202270896 is a wasteful number, since it uses less digits than its factorization.

202270896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 202270896 is about 14222.1972985893. The cubic root of 202270896 is about 587.0086028920.

The spelling of 202270896 in words is "two hundred two million, two hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 53 68 72 102 106 136 144 153 159 204 212 272 306 318 408 424 477 612 636 816 848 901 954 1224 1272 1559 1802 1908 2448 2544 2703 3118 3604 3816 4677 5406 6236 7208 7632 8109 9354 10812 12472 14031 14416 16218 18708 21624 24944 26503 28062 32436 37416 43248 53006 56124 64872 74832 79509 82627 106012 112248 129744 159018 165254 212024 224496 238527 247881 318036 330508 424048 477054 495762 636072 661016 743643 954108 991524 1272144 1322032 1404659 1487286 1908216 1983048 2809318 2974572 3816432 3966096 4213977 5618636 5949144 8427954 11237272 11898288 12641931 16855908 22474544 25283862 33711816 50567724 67423632 101135448 202270896