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4223006640 = 2432544913063
BaseRepresentation
bin1111101110110101…
…1111011110110000
3101220022022222001100
43323231133132300
532122042203030
61535013404400
7206435651466
oct37355373660
911808288040
104223006640
111877860436
1299a339700
13523ba27c8
142c0c04836
1519ab26360
hexfbb5f7b0

4223006640 has 120 divisors (see below), whose sum is σ = 14214938400. Its totient is φ = 1123540992.

The previous prime is 4223006587. The next prime is 4223006681. The reversal of 4223006640 is 466003224.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316749 + ... + 329811.

It is an arithmetic number, because the mean of its divisors is an integer number (118457820).

Almost surely, 24223006640 is an apocalyptic number.

4223006640 is a gapful number since it is divisible by the number (40) 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 4223006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7107469200).

4223006640 is an abundant number, since it is smaller than the sum of its proper divisors (9991931760).

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

4223006640 is a wasteful number, since it uses less digits than its factorization.

4223006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531 (or 13522 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4223006640 is about 64984.6646525163. The cubic root of 4223006640 is about 1616.3692809472.

Adding to 4223006640 its reverse (466003224), we get a palindrome (4689009864).

The spelling of 4223006640 in words is "four billion, two hundred twenty-three million, six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 449 720 898 1347 1796 2245 2694 3592 4041 4490 5388 6735 7184 8082 8980 10776 13063 13470 16164 17960 20205 21552 26126 26940 32328 35920 39189 40410 52252 53880 64656 65315 78378 80820 104504 107760 117567 130630 156756 161640 195945 209008 235134 261260 313512 323280 391890 470268 522520 587835 627024 783780 940536 1045040 1175670 1567560 1881072 2351340 3135120 4702680 5865287 9405360 11730574 17595861 23461148 29326435 35191722 46922296 52787583 58652870 70383444 87979305 93844592 105575166 117305740 140766888 175958610 211150332 234611480 263937915 281533776 351917220 422300664 469222960 527875830 703834440 844601328 1055751660 1407668880 2111503320 4223006640