Search a number
-
+
290200302 = 232717612221
BaseRepresentation
bin10001010011000…
…001101011101110
3202020001200222100
4101103001223232
51043242402202
644443555530
710122443010
oct2123015356
9666050870
10290200302
111398a0867
128122bba6
1348179472
142a7821b0
151a72541c
hex114c1aee

290200302 has 96 divisors (see below), whose sum is σ = 773682624. Its totient is φ = 76723200.

The previous prime is 290200289. The next prime is 290200333. The reversal of 290200302 is 203002092.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129552 + ... + 131772.

It is an arithmetic number, because the mean of its divisors is an integer number (8059194).

Almost surely, 2290200302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290200302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386841312).

290200302 is an abundant number, since it is smaller than the sum of its proper divisors (483482322).

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

290200302 is a wasteful number, since it uses less digits than its factorization.

290200302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 290200302 is about 17035.2664199889. The cubic root of 290200302 is about 662.0629528521.

Adding to 290200302 its reverse (203002092), we get a palindrome (493202394).

The spelling of 290200302 in words is "two hundred ninety million, two hundred thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 61 63 102 119 122 126 153 183 238 306 357 366 427 549 714 854 1037 1071 1098 1281 2074 2142 2221 2562 3111 3843 4442 6222 6663 7259 7686 9333 13326 14518 15547 18666 19989 21777 31094 37757 39978 43554 46641 65331 75514 93282 113271 130662 135481 139923 226542 264299 270962 279846 339813 406443 528598 679626 792897 812886 948367 1219329 1585794 1896734 2303177 2378691 2438658 2845101 4606354 4757382 5690202 6909531 8535303 13819062 16122239 17070606 20728593 32244478 41457186 48366717 96733434 145100151 290200302