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2238138 = 233731191
BaseRepresentation
bin1000100010011010111010
311012201011000
420202122322
51033110023
6115545430
725011120
oct10423272
94181130
102238138
111299601
128bb276
13604956
14423910
152e3243
hex2226ba

2238138 has 64 divisors (see below), whose sum is σ = 5898240. Its totient is φ = 615600.

The previous prime is 2238127. The next prime is 2238161. The reversal of 2238138 is 8318322.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 11623 + ... + 11813.

It is an arithmetic number, because the mean of its divisors is an integer number (92160).

22238138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2238138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949120).

2238138 is an abundant number, since it is smaller than the sum of its proper divisors (3660102).

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

2238138 is a wasteful number, since it uses less digits than its factorization.

2238138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2238138 is about 1496.0407748454. The cubic root of 2238138 is about 130.8063880392.

The spelling of 2238138 in words is "two million, two hundred thirty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 191 217 279 378 382 434 558 573 651 837 1146 1302 1337 1674 1719 1953 2674 3438 3906 4011 5157 5859 5921 8022 10314 11718 11842 12033 17763 24066 35526 36099 41447 53289 72198 82894 106578 124341 159867 248682 319734 373023 746046 1119069 2238138