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238040100 = 223352131673
BaseRepresentation
bin11100011000000…
…11010000100100
3121120220200122000
432030003100210
5441414240400
635342005300
75620210314
oct1614032044
9546820560
10238040100
11112405061
1267876830
133a415a3c
1423885444
1515d70600
hexe303424

238040100 has 144 divisors (see below), whose sum is σ = 772242240. Its totient is φ = 62899200.

The previous prime is 238040093. The next prime is 238040123. The reversal of 238040100 is 1040832.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353364 + ... + 354036.

Almost surely, 2238040100 is an apocalyptic number.

238040100 is a gapful number since it is divisible by the number (20) 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 238040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386121120).

238040100 is an abundant number, since it is smaller than the sum of its proper divisors (534202140).

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

238040100 is a wasteful number, since it uses less digits than its factorization.

238040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 238040100 is about 15428.5482142682. The cubic root of 238040100 is about 619.7502462665.

Adding to 238040100 its reverse (1040832), we get a palindrome (239080932).

The spelling of 238040100 in words is "two hundred thirty-eight million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 131 135 150 180 225 262 270 300 393 450 524 540 655 673 675 786 900 1179 1310 1346 1350 1572 1965 2019 2358 2620 2692 2700 3275 3365 3537 3930 4038 4716 5895 6057 6550 6730 7074 7860 8076 9825 10095 11790 12114 13100 13460 14148 16825 17685 18171 19650 20190 23580 24228 29475 30285 33650 35370 36342 39300 40380 50475 58950 60570 67300 70740 72684 88163 88425 90855 100950 117900 121140 151425 176326 176850 181710 201900 264489 302850 352652 353700 363420 440815 454275 528978 605700 793467 881630 908550 1057956 1322445 1586934 1763260 1817100 2204075 2380401 2644890 3173868 3967335 4408150 4760802 5289780 6612225 7934670 8816300 9521604 11902005 13224450 15869340 19836675 23804010 26448900 39673350 47608020 59510025 79346700 119020050 238040100