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2267275533054 = 2372431024317509
BaseRepresentation
bin100000111111100100001…
…001110001101011111110
322000202020022220201021220
4200333210021301223332
5244121340014024204
64453323315134210
7322543126023300
oct40774411615376
98022208821256
102267275533054
117a4600a26784
123074b5ba4366
13135a59728a6c
147ba457c5970
153de9c7981d9
hex20fe4271afe

2267275533054 has 96 divisors (see below), whose sum is σ = 5398392954240. Its totient is φ = 632630150208.

The previous prime is 2267275532993. The next prime is 2267275533059. The reversal of 2267275533054 is 4503355727622.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2267275532988 and 2267275533006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267275533059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129483252 + ... + 129500760.

It is an arithmetic number, because the mean of its divisors is an integer number (56233259940).

Almost surely, 22267275533054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2267275533054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699196477120).

2267275533054 is an abundant number, since it is smaller than the sum of its proper divisors (3131117421186).

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

2267275533054 is a wasteful number, since it uses less digits than its factorization.

2267275533054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27814 (or 27807 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 51.

The spelling of 2267275533054 in words is "two trillion, two hundred sixty-seven billion, two hundred seventy-five million, five hundred thirty-three thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1806 2107 4214 6321 10243 12642 17509 20486 30729 35018 52527 61458 71701 105054 122563 143402 215103 245126 367689 430206 440449 501907 735378 752887 857941 880898 1003814 1321347 1505721 1505774 1715882 2258661 2573823 2642694 3011442 3083143 4517322 5147646 5270209 6166286 9249429 10540418 15810627 18498858 21582001 31621254 36891463 43164002 64746003 73782926 110674389 129492006 179344687 221348778 358689374 538034061 1076068122 1255412809 2510825618 3766238427 7532476854 7711821541 8787889663 15423643082 17575779326 23135464623 26363668989 46270929246 52727337978 53982750787 107965501574 161948252361 323896504722 377879255509 755758511018 1133637766527 2267275533054