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188214840 = 23345115281
BaseRepresentation
bin10110011011111…
…10111000111000
3111010011022020000
423031332320320
5341140333330
630402033000
74443541212
oct1315767070
9433138200
10188214840
1197273660
1253048760
132ccbc038
141add55b2
15117cc560
hexb37ee38

188214840 has 160 divisors (see below), whose sum is σ = 690251760. Its totient is φ = 45619200.

The previous prime is 188214839. The next prime is 188214853. The reversal of 188214840 is 48412881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 188214795 and 188214804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33000 + ... + 38280.

Almost surely, 2188214840 is an apocalyptic number.

188214840 is a gapful number since it is divisible by the number (10) 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 188214840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345125880).

188214840 is an abundant number, since it is smaller than the sum of its proper divisors (502036920).

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

188214840 is a wasteful number, since it uses less digits than its factorization.

188214840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 188214840 is about 13719.1413725495. The cubic root of 188214840 is about 573.0835655651.

The spelling of 188214840 in words is "one hundred eighty-eight million, two hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5281 5940 7128 8910 10562 11880 15843 17820 21124 26405 31686 35640 42248 47529 52810 58091 63372 79215 95058 105620 116182 126744 142587 158430 174273 190116 211240 232364 237645 285174 290455 316860 348546 380232 427761 464728 475290 522819 570348 580910 633720 697092 712935 855522 871365 950580 1045638 1140696 1161820 1394184 1425870 1568457 1711044 1742730 1901160 2091276 2138805 2323640 2614095 2851740 3136914 3422088 3485460 4182552 4277610 4705371 5228190 5703480 6273828 6970920 7842285 8555220 9410742 10456380 12547656 15684570 17110440 18821484 20912760 23526855 31369140 37642968 47053710 62738280 94107420 188214840