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2277200071068 = 22313411867190699
BaseRepresentation
bin100001001000110011101…
…100111000100110011100
322001200211222200111000220
4201020303230320212130
5244302201204233233
64502044204321340
7323344066142406
oct41106354704634
98050758614026
102277200071068
117a883408a00a
12309405843250
1313697b8b4570
147c307903b76
153e37dbebeb3
hex21233b3899c

2277200071068 has 96 divisors (see below), whose sum is σ = 5864931206400. Its totient is φ = 683217538560.

The previous prime is 2277200071031. The next prime is 2277200071231. The reversal of 2277200071068 is 8601700027722.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11845983 + ... + 12036681.

It is an arithmetic number, because the mean of its divisors is an integer number (61093033400).

Almost surely, 22277200071068 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 2277200071068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932465603200).

2277200071068 is an abundant number, since it is smaller than the sum of its proper divisors (3587731135332).

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

2277200071068 is a wasteful number, since it uses less digits than its factorization.

2277200071068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192627 (or 192625 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 2277200071068 in words is "two trillion, two hundred seventy-seven billion, two hundred million, seventy-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 1867 2132 3198 3734 5601 6396 7468 11202 22404 24271 48542 72813 76547 97084 145626 153094 190699 229641 291252 306188 381398 459282 572097 762796 918564 995111 1144194 1990222 2288388 2479087 2985333 3980444 4958174 5970666 7437261 7818659 9916348 11941332 14874522 15637318 23455977 29749044 31274636 46911954 93823908 101642567 203285134 304927701 356035033 406570268 609855402 712070066 1068105099 1219710804 1424140132 2136210198 4272420396 4628455429 9256910858 13885366287 14597436353 18513821716 27770732574 29194872706 43792309059 55541465148 58389745412 87584618118 175169236236 189766672589 379533345178 569300017767 759066690356 1138600035534 2277200071068