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4222876544 = 27233146271
BaseRepresentation
bin1111101110110011…
…1111101110000000
3101220022002100120222
43323230333232000
532122024022134
61535010522212
7206434600265
oct37354775600
911808070528
104222876544
111877781717
1299a296368
13523b58523
142c0bad26c
1519aaeca2e
hexfbb3fb80

4222876544 has 64 divisors (see below), whose sum is σ = 9061908480. Its totient is φ = 1954444800.

The previous prime is 4222876529. The next prime is 4222876589. The reversal of 4222876544 is 4456782224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4222876495 and 4222876504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68129 + ... + 114399.

It is an arithmetic number, because the mean of its divisors is an integer number (141592320).

Almost surely, 24222876544 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 4222876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530954240).

4222876544 is an abundant number, since it is smaller than the sum of its proper divisors (4839031936).

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

4222876544 is a wasteful number, since it uses less digits than its factorization.

4222876544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46339 (or 46327 counting only the distinct ones).

The product of its digits is 860160, while the sum is 44.

The square root of 4222876544 is about 64983.6636701871. The cubic root of 4222876544 is about 1616.3526825569.

The spelling of 4222876544 in words is "four billion, two hundred twenty-two million, eight hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 368 496 713 736 992 1426 1472 1984 2852 2944 3968 5704 11408 22816 45632 46271 91264 92542 185084 370168 740336 1064233 1434401 1480672 2128466 2868802 2961344 4256932 5737604 5922688 8513864 11475208 17027728 22950416 32991223 34055456 45900832 65982446 68110912 91801664 131964892 136221824 183603328 263929784 527859568 1055719136 2111438272 4222876544