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238006890 = 233511127631
BaseRepresentation
bin11100010111110…
…11001001101010
3121120212000002000
432023323021222
5441412210030
635341151430
75620011432
oct1613731152
9546760060
10238006890
11112392110
126785b576
133a4038a4
14238772c2
1515d65860
hexe2fb26a

238006890 has 128 divisors (see below), whose sum is σ = 698941440. Its totient is φ = 57153600.

The previous prime is 238006889. The next prime is 238006907. The reversal of 238006890 is 98600832.

It is a Curzon number.

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, 376875 + ... + 377505.

It is an arithmetic number, because the mean of its divisors is an integer number (5460480).

Almost surely, 2238006890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238006890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349470720).

238006890 is an abundant number, since it is smaller than the sum of its proper divisors (460934550).

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

238006890 is a wasteful number, since it uses less digits than its factorization.

238006890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 238006890 is about 15427.4719251081. The cubic root of 238006890 is about 619.7214235836.

The spelling of 238006890 in words is "two hundred thirty-eight million, six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 127 135 165 198 254 270 297 330 381 495 594 631 635 762 990 1143 1262 1270 1397 1485 1893 1905 2286 2794 2970 3155 3429 3786 3810 4191 5679 5715 6310 6858 6941 6985 8382 9465 11358 11430 12573 13882 13970 17037 17145 18930 20823 20955 25146 28395 34074 34290 34705 37719 41646 41910 56790 62469 62865 69410 75438 80137 85185 104115 124938 125730 160274 170370 187407 188595 208230 240411 312345 374814 377190 400685 480822 624690 721233 801370 881507 937035 1202055 1442466 1763014 1874070 2163699 2404110 2644521 3606165 4327398 4407535 5289042 7212330 7933563 8815070 10818495 13222605 15867126 21636990 23800689 26445210 39667815 47601378 79335630 119003445 238006890