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4416260220 = 22325107467491
BaseRepresentation
bin1000001110011101…
…01100100001111100
3102101202222021010100
410013032230201330
533021030311340
62010115441100
7214303410141
oct40716544174
912352867110
104416260220
111966955739
12a32bb6190
13554c37138
142dc74c3c8
151aca9b830
hex1073ac87c

4416260220 has 144 divisors (see below), whose sum is σ = 13577735808. Its totient is φ = 1161793920.

The previous prime is 4416260213. The next prime is 4416260267. The reversal of 4416260220 is 220626144.

4416260220 is a `hidden beast` number, since 4 + 416 + 26 + 0 + 220 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8994175 + ... + 8994665.

It is an arithmetic number, because the mean of its divisors is an integer number (94289832).

Almost surely, 24416260220 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 4416260220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788867904).

4416260220 is an abundant number, since it is smaller than the sum of its proper divisors (9161475588).

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

4416260220 is a wasteful number, since it uses less digits than its factorization.

4416260220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4416260220 is about 66454.9487999201. The cubic root of 4416260220 is about 1640.6585967759.

Adding to 4416260220 its reverse (220626144), we get a palindrome (4636886364).

The spelling of 4416260220 in words is "four billion, four hundred sixteen million, two hundred sixty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 467 491 535 642 934 963 982 1070 1284 1401 1473 1605 1868 1926 1964 2140 2335 2455 2802 2946 3210 3852 4203 4419 4670 4815 4910 5604 5892 6420 7005 7365 8406 8838 9340 9630 9820 14010 14730 16812 17676 19260 21015 22095 28020 29460 42030 44190 49969 52537 84060 88380 99938 105074 149907 157611 199876 210148 229297 249845 262685 299814 315222 449721 458594 472833 499690 525370 599628 630444 687891 749535 788055 899442 917188 945666 999380 1050740 1146485 1375782 1499070 1576110 1798884 1891332 2063673 2248605 2292970 2364165 2751564 2998140 3152220 3439455 4127346 4497210 4585940 4728330 6878910 8254692 8994420 9456660 10318365 13757820 20636730 24534779 41273460 49069558 73604337 98139116 122673895 147208674 220813011 245347790 294417348 368021685 441626022 490695580 736043370 883252044 1104065055 1472086740 2208130110 4416260220