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222081048 = 23337191769
BaseRepresentation
bin11010011110010…
…11000000011000
3120110212212221000
431033023000120
5423323043143
634011545000
75334441420
oct1517130030
9513785830
10222081048
111043a4862
126245b160
1337018a07
14216cd480
151476bbd3
hexd3cb018

222081048 has 128 divisors (see below), whose sum is σ = 709632000. Its totient is φ = 63037440.

The previous prime is 222081019. The next prime is 222081059. The reversal of 222081048 is 840180222.

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 31 ways as a sum of consecutive naturals, for example, 288408 + ... + 289176.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2222081048 is an apocalyptic number.

222081048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222081048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354816000).

222081048 is an abundant number, since it is smaller than the sum of its proper divisors (487550952).

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

222081048 is a wasteful number, since it uses less digits than its factorization.

222081048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 222081048 is about 14902.3839703586. The cubic root of 222081048 is about 605.5785718130.

The spelling of 222081048 in words is "two hundred twenty-two million, eighty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 191 216 252 378 382 504 573 756 764 769 1146 1337 1512 1528 1538 1719 2292 2307 2674 3076 3438 4011 4584 4614 5157 5348 5383 6152 6876 6921 8022 9228 10314 10696 10766 12033 13752 13842 16044 16149 18456 20628 20763 21532 24066 27684 32088 32298 36099 41256 41526 43064 48132 48447 55368 64596 72198 83052 96264 96894 129192 144396 145341 146879 166104 193788 288792 290682 293758 387576 440637 581364 587516 881274 1028153 1162728 1175032 1321911 1762548 2056306 2643822 3084459 3525096 3965733 4112612 5287644 6168918 7931466 8225224 9253377 10575288 12337836 15862932 18506754 24675672 27760131 31725864 37013508 55520262 74027016 111040524 222081048