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2200324211334 = 232232829278743
BaseRepresentation
bin100000000001001101100…
…010110000001010000110
321210100102101012011210200
4200001031202300022012
5242022230444230314
64402452012031330
7314653041130434
oct40011542601206
97710371164720
102200324211334
11779174722837
122b6530162546
1312c649aaa572
14786d3a47d54
153c37eb44709
hex2004d8b0286

2200324211334 has 72 divisors (see below), whose sum is σ = 4989687633840. Its totient is φ = 700703869536.

The previous prime is 2200324211291. The next prime is 2200324211347. The reversal of 2200324211334 is 4331124230022.

2200324211334 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 324 + 2 + 1 + 1 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2200324211298 and 2200324211307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7754367 + ... + 8033109.

Almost surely, 22200324211334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200324211334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494843816920).

2200324211334 is an abundant number, since it is smaller than the sum of its proper divisors (2789363422506).

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

2200324211334 is a wasteful number, since it uses less digits than its factorization.

2200324211334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279626 (or 279600 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2200324211334 its reverse (4331124230022), we get a palindrome (6531448441356).

The spelling of 2200324211334 in words is "two trillion, two hundred billion, three hundred twenty-four million, two hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 829 1058 1587 1658 2487 3174 4761 4974 7461 9522 14922 19067 38134 57201 114402 171603 278743 343206 438541 557486 836229 877082 1315623 1672458 2508687 2631246 3946869 5017374 6411089 7893738 12822178 19233267 38466534 57699801 115399602 147455047 231077947 294910094 442365141 462155894 693233841 884730282 1327095423 1386467682 2079701523 2654190846 4159403046 5314792781 10629585562 15944378343 31888756686 47833135029 95666270058 122240233963 244480467926 366720701889 733441403778 1100162105667 2200324211334