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4202223030 = 2335177331249
BaseRepresentation
bin1111101001111000…
…1101010110110110
3101211212020001022000
43322132031112312
532101232114110
61532552120130
7206064210045
oct37236152666
911755201260
104202223030
1118670553a5
12993396046
1351c7a6805
142bc15455c
15198dbd1c0
hexfa78d5b6

4202223030 has 128 divisors (see below), whose sum is σ = 11890800000. Its totient is φ = 1052393472.

The previous prime is 4202222987. The next prime is 4202223037. The reversal of 4202223030 is 303222024.

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

It is a junction number, because it is equal to n+sod(n) for n = 4202222994 and 4202223012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202223037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3363846 + ... + 3365094.

It is an arithmetic number, because the mean of its divisors is an integer number (92896875).

Almost surely, 24202223030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202223030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945400000).

4202223030 is an abundant number, since it is smaller than the sum of its proper divisors (7688576970).

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

4202223030 is a wasteful number, since it uses less digits than its factorization.

4202223030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4202223030 is about 64824.5557640004. Note that the first 3 decimals coincide. The cubic root of 4202223030 is about 1613.7132545693.

Adding to 4202223030 its reverse (303222024), we get a palindrome (4505445054).

The spelling of 4202223030 in words is "four billion, two hundred two million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 733 765 918 1249 1466 1530 2199 2295 2498 3665 3747 4398 4590 6245 6597 7330 7494 10995 11241 12461 12490 13194 18735 19791 21233 21990 22482 24922 32985 33723 37383 37470 39582 42466 56205 62305 63699 65970 67446 74766 98955 106165 112149 112410 124610 127398 168615 186915 191097 197910 212330 224298 318495 336447 337230 373830 382194 560745 573291 636990 672894 915517 955485 1121490 1146582 1682235 1831034 1910970 2746551 2866455 3364470 4577585 5493102 5732910 8239653 9155170 13732755 15563789 16479306 24718959 27465510 31127578 41198265 46691367 49437918 77818945 82396530 93382734 123594795 140074101 155637890 233456835 247189590 280148202 420222303 466913670 700370505 840444606 1400741010 2101111515 4202223030