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2262233144061 = 3311191019114357
BaseRepresentation
bin100000111010110111100…
…110100101101011111101
322000021012220202210222000
4200322313212211223331
5244031023141102221
64451131111212513
7322304150310612
oct40726746455375
98007186683860
102262233144061
117a24536a7250
12306529377139
13135434b78137
147b6c7c4c509
153dca4c6be26
hex20eb79a5afd

2262233144061 has 128 divisors (see below), whose sum is σ = 3891826483200. Its totient is φ = 1284323040000.

The previous prime is 2262233144047. The next prime is 2262233144107. The reversal of 2262233144061 is 1604413322622.

2262233144061 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 233 + 14 + 406 + 1 = 666.

It is not a de Polignac number, because 2262233144061 - 25 = 2262233144029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262233144161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 519215895 + ... + 519220251.

It is an arithmetic number, because the mean of its divisors is an integer number (30404894400).

Almost surely, 22262233144061 is an apocalyptic number.

It is an amenable number.

2262233144061 is a deficient number, since it is larger than the sum of its proper divisors (1629593339139).

2262233144061 is a wasteful number, since it uses less digits than its factorization.

2262233144061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 2262233144061 its reverse (1604413322622), we get a palindrome (3866646466683).

The spelling of 2262233144061 in words is "two trillion, two hundred sixty-two billion, two hundred thirty-three million, one hundred forty-four thousand, sixty-one".

Divisors: 1 3 9 11 19 27 33 57 99 101 171 209 297 303 513 627 909 911 1111 1881 1919 2727 2733 3333 4357 5643 5757 8199 9999 10021 13071 17271 17309 21109 24597 29997 30063 39213 47927 51813 51927 63327 82783 90189 92011 117639 143781 155781 189981 190399 248349 270567 276033 431343 440057 467343 569943 571197 745047 828099 910613 1012121 1294029 1320171 1713591 1748209 2235141 2484297 2731839 3036363 3960513 3969227 4840627 5140773 5244627 8195517 8361083 9109089 11881539 11907681 14521881 15733881 19230299 24586551 25083249 27327267 35723043 43565643 43661497 47201643 57690897 75249747 75415313 91971913 107169129 130696929 130984491 173072691 225749241 226245939 275915739 392953473 400891927 519218073 678737817 827747217 829568443 1178860419 1202675781 2036213451 2483241651 2488705329 3608027343 4409811197 7466115987 7616946613 10824082029 13229433591 22398347961 22850839839 39688300773 68552519517 83786412743 119064902319 205657558551 251359238229 754077714687 2262233144061