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4220611488 = 253317216903
BaseRepresentation
bin1111101110010001…
…0110101110100000
3101220010211021112000
43323210112232200
532120434031423
61534450204000
7206406414522
oct37344265640
911803737460
104220611488
111876474975
12999583600
13523544562
142c077da12
1519a801843
hexfb916ba0

4220611488 has 144 divisors (see below), whose sum is σ = 13077610560. Its totient is φ = 1324035072.

The previous prime is 4220611457. The next prime is 4220611501. The reversal of 4220611488 is 8841160224.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×42206114882 = 35627122665275148288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241245 + ... + 258147.

It is an arithmetic number, because the mean of its divisors is an integer number (90816740).

Almost surely, 24220611488 is an apocalyptic number.

4220611488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220611488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538805280).

4220611488 is an abundant number, since it is smaller than the sum of its proper divisors (8856999072).

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

4220611488 is a wasteful number, since it uses less digits than its factorization.

4220611488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16956 (or 16925 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4220611488 is about 64966.2334447673. The cubic root of 4220611488 is about 1616.0636391303.

The spelling of 4220611488 in words is "four billion, two hundred twenty million, six hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 289 306 408 432 459 544 578 612 816 864 867 918 1156 1224 1632 1734 1836 2312 2448 2601 3468 3672 4624 4896 5202 6936 7344 7803 9248 10404 13872 14688 15606 16903 20808 27744 31212 33806 41616 50709 62424 67612 83232 101418 124848 135224 152127 202836 249696 270448 287351 304254 405672 456381 540896 574702 608508 811344 862053 912762 1149404 1217016 1622688 1724106 1825524 2298808 2434032 2586159 3448212 3651048 4597616 4868064 4884967 5172318 6896424 7302096 7758477 9195232 9769934 10344636 13792848 14604192 14654901 15516954 19539868 20689272 27585696 29309802 31033908 39079736 41378544 43964703 58619604 62067816 78159472 82757088 87929406 117239208 124135632 131894109 156318944 175858812 234478416 248271264 263788218 351717624 468956832 527576436 703435248 1055152872 1406870496 2110305744 4220611488