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114334104222 = 232132964726041
BaseRepresentation
bin110101001111011010…
…1111111101010011110
3101221010010210021122200
41222132311333222132
53333124012313342
6124305132352330
711155206564552
oct1523665775236
9357103707580
10114334104222
1144541691828
121a1aa3156a6
13aa213ca510
145768a67862
152e9286694c
hex1a9ed7fa9e

114334104222 has 96 divisors (see below), whose sum is σ = 276416038080. Its totient is φ = 33912829440.

The previous prime is 114334104221. The next prime is 114334104257. The reversal of 114334104222 is 222401433411.

114334104222 is a `hidden beast` number, since 1 + 1 + 4 + 334 + 104 + 222 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114334104221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4377522 + ... + 4403562.

It is an arithmetic number, because the mean of its divisors is an integer number (2879333730).

Almost surely, 2114334104222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114334104222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138208019040).

114334104222 is an abundant number, since it is smaller than the sum of its proper divisors (162081933858).

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

114334104222 is a wasteful number, since it uses less digits than its factorization.

114334104222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26738 (or 26735 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114334104222 its reverse (222401433411), we get a palindrome (336735537633).

The spelling of 114334104222 in words is "one hundred fourteen billion, three hundred thirty-four million, one hundred four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 647 754 1131 1294 1941 2262 3393 3882 5823 6786 8411 11646 16822 18763 25233 26041 37526 50466 52082 56289 75699 78123 112578 151398 156246 168867 234369 243919 337734 338533 468738 487838 677066 731757 755189 1015599 1463514 1510378 2031198 2195271 2265567 3046797 4390542 4531134 6093594 6796701 9817457 13593402 16848527 19634914 29452371 33697054 50545581 58904742 88357113 101091162 151636743 176714226 219030851 303273486 438061702 488607283 657092553 977214566 1314185106 1465821849 1971277659 2931643698 3942555318 4397465547 6351894679 8794931094 12703789358 19055684037 38111368074 57167052111 114334104222