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222114000042 = 2331117311091949
BaseRepresentation
bin1100111011011100000…
…1101010110010101010
3210020022111200021122000
43032313001222302222
512114342141000132
6250012053511430
722022122564224
oct3166701526252
9706274607560
10222114000042
118621a6207a0
1237069642576
1317c399770bc
14aa71059414
155b9eac087c
hex33b706acaa

222114000042 has 128 divisors (see below), whose sum is σ = 542337120000. Its totient is φ = 66823568640.

The previous prime is 222114000011. The next prime is 222114000061. The reversal of 222114000042 is 240000411222.

222114000042 is a `hidden beast` number, since 2 + 221 + 1 + 400 + 0 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222113999979 and 222114000024.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113962084 + ... + 113964032.

It is an arithmetic number, because the mean of its divisors is an integer number (4237008750).

Almost surely, 2222114000042 is an apocalyptic number.

222114000042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222114000042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271168560000).

222114000042 is an abundant number, since it is smaller than the sum of its proper divisors (320223119958).

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

222114000042 is a wasteful number, since it uses less digits than its factorization.

222114000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222114000042 its reverse (240000411222), we get a palindrome (462114411264).

The spelling of 222114000042 in words is "two hundred twenty-two billion, one hundred fourteen million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 173 198 297 346 519 594 1038 1109 1557 1903 1949 2218 3114 3327 3806 3898 4671 5709 5847 6654 9342 9981 11418 11694 12199 17127 17541 19962 21439 24398 29943 34254 35082 36597 42878 51381 52623 59886 64317 73194 102762 105246 109791 128634 191857 192951 219582 329373 337177 383714 385902 575571 578853 658746 674354 1011531 1151142 1157706 1726713 2023062 2110427 2161441 3034593 3453426 3708947 4220854 4322882 5180139 6069186 6331281 6484323 7417894 9103779 10360278 11126841 12662562 12968646 18207558 18993843 19452969 22253682 23775851 33380523 37987686 38905938 47551702 56981529 58358907 66761046 71327553 100141569 113963058 116717814 142655106 200283138 213982659 373929293 427965318 641947977 747858586 1121787879 1283895954 2243575758 3365363637 4113222223 6730727274 8226444446 10096090911 12339666669 20192181822 24679333338 37019000007 74038000014 111057000021 222114000042