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4414222140 = 2235472775651
BaseRepresentation
bin1000001110001101…
…11010111100111100
3102101122010201101220
410013012322330330
533020020102030
62010004033340
7214250161206
oct40706727474
912348121356
104414222140
111965793479
12a32392850
135546a2583
142dc37b776
151ac7e7a10
hex1071baf3c

4414222140 has 96 divisors (see below), whose sum is σ = 12670608384. Its totient is φ = 1147718400.

The previous prime is 4414222103. The next prime is 4414222151. The reversal of 4414222140 is 412224144.

It is a self number, because there is not a number n which added to its sum of digits gives 4414222140.

It is a congruent number.

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, 778315 + ... + 783965.

It is an arithmetic number, because the mean of its divisors is an integer number (131985504).

Almost surely, 24414222140 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 4414222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335304192).

4414222140 is an abundant number, since it is smaller than the sum of its proper divisors (8256386244).

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

4414222140 is a wasteful number, since it uses less digits than its factorization.

4414222140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4414222140 is about 66439.6127321645. The cubic root of 4414222140 is about 1640.4061729438.

Adding to 4414222140 its reverse (412224144), we get a palindrome (4826446284).

The spelling of 4414222140 in words is "four billion, four hundred fourteen million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 277 282 470 554 564 705 831 940 1108 1385 1410 1662 2770 2820 3324 4155 5540 5651 8310 11302 13019 16620 16953 22604 26038 28255 33906 39057 52076 56510 65095 67812 78114 84765 113020 130190 156228 169530 195285 260380 265597 339060 390570 531194 781140 796791 1062388 1327985 1565327 1593582 2655970 3130654 3187164 3983955 4695981 5311940 6261308 7826635 7967910 9391962 15653270 15935820 18783924 23479905 31306540 46959810 73570369 93919620 147140738 220711107 294281476 367851845 441422214 735703690 882844428 1103555535 1471407380 2207111070 4414222140