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2042222033214 = 23611191666683
BaseRepresentation
bin11101101101111101111…
…010110011100100111110
321020020022222001101000000
4131231331322303210332
5231424432320030324
64202103413415130
7300355110602556
oct35557572634476
97206288041000
102042222033214
11718113108310
1228b96803a4a6
1311a771a90c8c
1470bb61d2166
15381c9ad49c9
hex1db7deb393e

2042222033214 has 112 divisors (see below), whose sum is σ = 5036674950144. Its totient is φ = 615614158800.

The previous prime is 2042222033197. The next prime is 2042222033233. The reversal of 2042222033214 is 4123302222402.

2042222033214 is a `hidden beast` number, since 2 + 0 + 422 + 2 + 20 + 3 + 3 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2729917 + ... + 3396599.

Almost surely, 22042222033214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042222033214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518337475072).

2042222033214 is an abundant number, since it is smaller than the sum of its proper divisors (2994452916930).

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

2042222033214 is a wasteful number, since it uses less digits than its factorization.

2042222033214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666905 (or 666890 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2042222033214 its reverse (4123302222402), we get a palindrome (6165524255616).

The spelling of 2042222033214 in words is "two trillion, forty-two billion, two hundred twenty-two million, thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 191 198 243 297 382 486 573 594 729 891 1146 1458 1719 1782 2101 2673 3438 4202 5157 5346 6303 8019 10314 12606 15471 16038 18909 30942 37818 46413 56727 92826 113454 139239 170181 278478 340362 510543 666683 1021086 1333366 1531629 2000049 3063258 4000098 6000147 7333513 12000294 14667026 18000441 22000539 36000882 44001078 54001323 66001617 108002646 127336453 132003234 162003969 198004851 254672906 324007938 382009359 396009702 486011907 594014553 764018718 972023814 1146028077 1188029106 1400700983 1782043659 2292056154 2801401966 3438084231 3564087318 4202102949 5346130977 6876168462 8404205898 10314252693 10692261954 12606308847 20628505386 25212617694 30942758079 37818926541 61885516158 75637853082 92828274237 113456779623 185656548474 226913559246 340370338869 680740677738 1021111016607 2042222033214