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2228204023272 = 2333411387718131
BaseRepresentation
bin100000011011001011010…
…011110010110111101000
321220000101100222100221000
4200123023103302313220
5243001330212221042
64423342305115000
7316660654461123
oct40331323626750
97800340870830
102228204023272
11789a8109a127
122bba11028a60
13132170b368c6
1479bba66d3ba
153ce6256974c
hex206cb4f2de8

2228204023272 has 128 divisors (see below), whose sum is σ = 6341224579200. Its totient is φ = 724527014400.

The previous prime is 2228204023223. The next prime is 2228204023277. The reversal of 2228204023272 is 2723204028222.

2228204023272 is a `hidden beast` number, since 2 + 228 + 2 + 0 + 402 + 3 + 27 + 2 = 666.

2228204023272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2228204023277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122885647 + ... + 122903777.

It is an arithmetic number, because the mean of its divisors is an integer number (49540817025).

Almost surely, 22228204023272 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 2228204023272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170612289600).

2228204023272 is an abundant number, since it is smaller than the sum of its proper divisors (4113020555928).

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

2228204023272 is a wasteful number, since it uses less digits than its factorization.

2228204023272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32064 (or 32054 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 2228204023272 in words is "two trillion, two hundred twenty-eight billion, two hundred four million, twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 13877 18131 27754 36262 41631 54393 55508 72524 83262 108786 111016 124893 145048 163179 166524 217572 249786 326358 333048 374679 435144 489537 499572 568957 652716 743371 749358 979074 999144 1137914 1305432 1486742 1498716 1706871 1958148 2230113 2275828 2973484 2997432 3413742 3916296 4460226 4551656 5120613 5946968 6690339 6827484 8920452 10241226 13380678 13654968 15361839 17840904 20071017 20482452 26761356 30723678 40142034 40964904 53522712 61447356 80284068 122894712 160568136 251603887 503207774 754811661 1006415548 1509623322 2012831096 2264434983 3019246644 4528869966 6038493288 6793304949 9057739932 10315759367 13586609898 18115479864 20631518734 27173219796 30947278101 41263037468 54346439592 61894556202 82526074936 92841834303 123789112404 185683668606 247578224808 278525502909 371367337212 557051005818 742734674424 1114102011636 2228204023272