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2266544034620 = 225414617977523
BaseRepresentation
bin100000111110111000100…
…011010101001100111100
322000200100100110202002022
4200332320203111030330
5244113340233101440
64453122544415312
7322516034262635
oct40767043251474
98020310422068
102266544034620
117a4266023118
12307331017538
1313597100b658
147b9b65ac88c
153de58452cb5
hex20fb88d533c

2266544034620 has 96 divisors (see below), whose sum is σ = 4893191747136. Its totient is φ = 881361766400.

The previous prime is 2266544034613. The next prime is 2266544034631. The reversal of 2266544034620 is 264304456622.

2266544034620 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-3 number, since 3×22665440346203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301278179 + ... + 301285701.

It is an arithmetic number, because the mean of its divisors is an integer number (50970747366).

Almost surely, 22266544034620 is an apocalyptic number.

2266544034620 is a gapful number since it is divisible by the number (20) 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 2266544034620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446595873568).

2266544034620 is an abundant number, since it is smaller than the sum of its proper divisors (2626647712516).

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

2266544034620 is a wasteful number, since it uses less digits than its factorization.

2266544034620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831 (or 8829 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 2266544034620 in words is "two trillion, two hundred sixty-six billion, five hundred forty-four million, thirty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 461 797 820 922 1594 1844 2305 3188 3985 4610 7523 7970 9220 15046 15940 18901 30092 32677 37615 37802 65354 75230 75604 94505 130708 150460 163385 189010 308443 326770 367417 378020 616886 653540 734834 1233772 1469668 1542215 1837085 3084430 3468103 3674170 5995831 6168860 6936206 7348340 11991662 13872412 15064097 17340515 23983324 29979155 30128194 34681030 59958310 60256388 69362060 75320485 119916620 142192223 150640970 245829071 284384446 301281940 491658142 568768892 710961115 983316284 1229145355 1421922230 2458290710 2764078091 2843844460 4916581420 5528156182 11056312364 13820390455 27640780910 55281561820 113327201731 226654403462 453308806924 566636008655 1133272017310 2266544034620