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2209450438872 = 233429971212103
BaseRepresentation
bin100000001001101101100…
…000100011000011011000
321211012222101210120110000
4200021231200203003120
5242144423303020442
64411001342453000
7315425145601005
oct40115540430330
97735871716400
102209450438872
11782028199646
122b8258594160
131304727551c1
1478d1bb1a8ac
153c715e56d4c
hex2026d8230d8

2209450438872 has 160 divisors (see below), whose sum is σ = 6467908154400. Its totient is φ = 703756118016.

The previous prime is 2209450438823. The next prime is 2209450438889. The reversal of 2209450438872 is 2788340549022.

2209450438872 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 450 + 43 + 88 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1216773 + ... + 2428875.

It is an arithmetic number, because the mean of its divisors is an integer number (40424425965).

Almost surely, 22209450438872 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 2209450438872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233954077200).

2209450438872 is an abundant number, since it is smaller than the sum of its proper divisors (4258457715528).

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

2209450438872 is a wasteful number, since it uses less digits than its factorization.

2209450438872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212247 (or 1212234 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2209450438872 in words is "two trillion, two hundred nine billion, four hundred fifty million, four hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 97 108 116 162 174 194 216 232 261 291 324 348 388 522 582 648 696 776 783 873 1044 1164 1566 1746 2088 2328 2349 2619 2813 3132 3492 4698 5238 5626 6264 6984 7857 8439 9396 10476 11252 15714 16878 18792 20952 22504 25317 31428 33756 50634 62856 67512 75951 101268 151902 202536 227853 303804 455706 607608 911412 1212103 1822824 2424206 3636309 4848412 7272618 9696824 10908927 14545236 21817854 29090472 32726781 35150987 43635708 65453562 70301974 87271416 98180343 105452961 117573991 130907124 140603948 196360686 210905922 235147982 261814248 281207896 316358883 352721973 392721372 421811844 470295964 632717766 705443946 785442744 843623688 940591928 949076649 1058165919 1265435532 1410887892 1898153298 2116331838 2530871064 2821775784 2847229947 3174497757 3409645739 3796306596 4232663676 5694459894 6348995514 6819291478 7592613192 8465327352 9523493271 10228937217 11388919788 12697991028 13638582956 19046986542 20457874434 22777839576 25395982056 27277165912 30686811651 38093973084 40915748868 61373623302 76187946168 81831497736 92060434953 122747246604 184120869906 245494493208 276181304859 368241739812 552362609718 736483479624 1104725219436 2209450438872