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302142225 = 352711113463
BaseRepresentation
bin10010000000100…
…101001100010001
3210001112102012210
4102000211030101
51104322022400
645551542333
710326111060
oct2200451421
9701472183
10302142225
11145607a20
128522a9a9
134a79aba8
142c1b01d7
151b7d3950
hex12025311

302142225 has 96 divisors (see below), whose sum is σ = 629673984. Its totient is φ = 124185600.

The previous prime is 302142187. The next prime is 302142227. The reversal of 302142225 is 522241203.

It is not a de Polignac number, because 302142225 - 211 = 302140177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (302142227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 652344 + ... + 652806.

It is an arithmetic number, because the mean of its divisors is an integer number (6559104).

Almost surely, 2302142225 is an apocalyptic number.

302142225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

302142225 is an abundant number, since it is smaller than the sum of its proper divisors (327531759).

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

302142225 is a wasteful number, since it uses less digits than its factorization.

302142225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 302142225 is about 17382.2387798580. The cubic root of 302142225 is about 671.0225901038.

Adding to 302142225 its reverse (522241203), we get a palindrome (824383428).

The spelling of 302142225 in words is "three hundred two million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 113 165 175 231 275 339 385 463 525 565 791 825 1155 1243 1389 1695 1925 2315 2373 2825 3241 3729 3955 5093 5775 6215 6945 8475 8701 9723 11575 11865 15279 16205 18645 19775 25465 26103 31075 34725 35651 43505 48615 52319 59325 76395 81025 93225 106953 127325 130515 156957 178255 217525 243075 261595 366233 381975 534765 575509 652575 784785 891275 1098699 1307975 1726527 1831165 2673825 2877545 3923925 4028563 5493495 8632635 9155825 12085689 14387725 20142815 27467475 43163175 60428445 100714075 302142225