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40220120220 = 223572127107719
BaseRepresentation
bin100101011101010011…
…100101010010011100
310211211000020210200020
4211131103211102130
51124332322321340
630251000432140
72622456244500
oct453523452234
9124730223606
1040220120220
111606a233685
127965778650
133a3c862907
141d3790a300
1510a5eb79d0
hex95d4e549c

40220120220 has 144 divisors (see below), whose sum is σ = 132035420160. Its totient is φ = 9120698496.

The previous prime is 40220120209. The next prime is 40220120279. The reversal of 40220120220 is 2202102204.

40220120220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402201202202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40220120220.

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, 319521 + ... + 427239.

It is an arithmetic number, because the mean of its divisors is an integer number (916912640).

Almost surely, 240220120220 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 40220120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66017710080).

40220120220 is an abundant number, since it is smaller than the sum of its proper divisors (91815299940).

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

40220120220 is a wasteful number, since it uses less digits than its factorization.

40220120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107872 (or 107863 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 40220120220 its reverse (2202102204), we get a palindrome (42422222424).

The spelling of 40220120220 in words is "forty billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 127 140 147 196 210 245 254 294 381 420 490 508 588 635 735 762 889 980 1270 1470 1524 1778 1905 2540 2667 2940 3556 3810 4445 5334 6223 7620 8890 10668 12446 13335 17780 18669 24892 26670 31115 37338 53340 62230 74676 93345 107719 124460 186690 215438 323157 373380 430876 538595 646314 754033 1077190 1292628 1508066 1615785 2154380 2262099 3016132 3231570 3770165 4524198 5278231 6463140 7540330 9048396 10556462 11310495 13680313 15080660 15834693 21112924 22620990 26391155 27360626 31669386 41040939 45241980 52782310 54721252 63338772 68401565 79173465 82081878 95762191 105564620 136803130 158346930 164163756 191524382 205204695 273606260 287286573 316693860 383048764 410409390 478810955 574573146 670335337 820818780 957621910 1149146292 1340670674 1436432865 1915243820 2011006011 2681341348 2872865730 3351676685 4022012022 5745731460 6703353370 8044024044 10055030055 13406706740 20110060110 40220120220