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2225463350 = 25211191731231
BaseRepresentation
bin1000010010100101…
…1110000000110110
312202002121020210112
42010221132000312
514024204311400
61004455223022
7106102061225
oct20451360066
95662536715
102225463350
11a42241610
12521377a72
132960a8726
141717c8cbc
15d059b835
hex84a5e036

2225463350 has 96 divisors (see below), whose sum is σ = 4784693760. Its totient is φ = 761616000.

The previous prime is 2225463347. The next prime is 2225463377. The reversal of 2225463350 is 533645222.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1807235 + ... + 1808465.

It is an arithmetic number, because the mean of its divisors is an integer number (49840560).

Almost surely, 22225463350 is an apocalyptic number.

2225463350 is an abundant number, since it is smaller than the sum of its proper divisors (2559230410).

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

2225463350 is a wasteful number, since it uses less digits than its factorization.

2225463350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 2225463350 is about 47174.8169047851. The cubic root of 2225463350 is about 1305.5900015122.

The spelling of 2225463350 in words is "two billion, two hundred twenty-five million, four hundred sixty-three thousand, three hundred fifty".

Divisors: 1 2 5 10 11 19 22 25 38 50 55 95 110 173 190 209 275 346 418 475 550 865 950 1045 1231 1730 1903 2090 2462 3287 3806 4325 5225 6155 6574 8650 9515 10450 12310 13541 16435 19030 23389 27082 30775 32870 36157 46778 47575 61550 67705 72314 82175 95150 116945 135410 164350 180785 212963 233890 257279 338525 361570 425926 514558 584725 677050 903925 1064815 1169450 1286395 1807850 2129630 2342593 2572790 4046297 4685186 5324075 6431975 8092594 10648150 11712965 12863950 20231485 23425930 40462970 44509267 58564825 89018534 101157425 117129650 202314850 222546335 445092670 1112731675 2225463350