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4227274436 = 22711292112243
BaseRepresentation
bin1111101111110111…
…0001011011000100
3101220121100210100212
43323331301123010
532124140240221
61535245054552
7206520145160
oct37375613304
911817323325
104227274436
11187a205940
1299b857458
13524a38228
142c15d5ca0
1519b1bab5b
hexfbf716c4

4227274436 has 96 divisors (see below), whose sum is σ = 9590676480. Its totient is φ = 1581955200.

The previous prime is 4227274427. The next prime is 4227274543. The reversal of 4227274436 is 6344727224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4227274393 and 4227274402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1883531 + ... + 1885773.

It is an arithmetic number, because the mean of its divisors is an integer number (99902880).

Almost surely, 24227274436 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 4227274436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795338240).

4227274436 is an abundant number, since it is smaller than the sum of its proper divisors (5363402044).

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

4227274436 is a wasteful number, since it uses less digits than its factorization.

4227274436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2503 counting only the distinct ones).

The product of its digits is 451584, while the sum is 41.

The square root of 4227274436 is about 65017.4933075707. The cubic root of 4227274436 is about 1616.9136018075.

The spelling of 4227274436 in words is "four billion, two hundred twenty-seven million, two hundred seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 211 308 319 406 422 638 812 844 1276 1477 2233 2243 2321 2954 4466 4486 4642 5908 6119 8932 8972 9284 12238 15701 16247 24476 24673 31402 32494 42833 49346 62804 64988 65047 67309 85666 98692 130094 134618 171332 172711 260188 269236 345422 455329 471163 473273 690844 715517 910658 942326 946546 1431034 1821316 1884652 1893092 2862068 3312911 5008619 5206003 6625822 10017238 10412006 13251644 13724917 20034476 20824012 27449834 36442021 54899668 72884042 96074419 145768084 150974087 192148838 301948174 384297676 603896348 1056818609 2113637218 4227274436