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2189120688 = 243337151907
BaseRepresentation
bin1000001001111011…
…0101010010110000
312122120012212001000
42002132311102300
513440403330223
61001120242000
7105151135026
oct20236652260
95576185030
102189120688
11a23779857
12511170300
1328b6c27b1
1416aa48716
15cc2bd543
hex827b54b0

2189120688 has 160 divisors (see below), whose sum is σ = 6503313920. Its totient is φ = 704505600.

The previous prime is 2189120677. The next prime is 2189120711. The reversal of 2189120688 is 8860219812.

It is a happy 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, 2413131 + ... + 2414037.

It is an arithmetic number, because the mean of its divisors is an integer number (40645712).

Almost surely, 22189120688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189120688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251656960).

2189120688 is an abundant number, since it is smaller than the sum of its proper divisors (4314193232).

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

2189120688 is a wasteful number, since it uses less digits than its factorization.

2189120688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 2189120688 is about 46788.0400102419. The cubic root of 2189120688 is about 1298.4440334799. Note that the first 3 decimals are identical.

The spelling of 2189120688 in words is "two billion, one hundred eighty-nine million, one hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 151 216 222 296 302 333 432 444 453 592 604 666 888 906 907 999 1208 1332 1359 1776 1812 1814 1998 2416 2664 2718 2721 3624 3628 3996 4077 5328 5436 5442 5587 7248 7256 7992 8154 8163 10872 10884 11174 14512 15984 16308 16326 16761 21744 21768 22348 24489 32616 32652 33522 33559 43536 44696 48978 50283 65232 65304 67044 67118 89392 97956 100566 100677 130608 134088 134236 136957 150849 195912 201132 201354 268176 268472 273914 301698 302031 391824 402264 402708 410871 536944 547828 603396 604062 804528 805416 821742 906093 1095656 1206792 1208124 1232613 1610832 1643484 1812186 2191312 2413584 2416248 2465226 3286968 3624372 3697839 4832496 4930452 5067409 6573936 7248744 7395678 9860904 10134818 14497488 14791356 15202227 19721808 20269636 29582712 30404454 40539272 45606681 59165424 60808908 81078544 91213362 121617816 136820043 182426724 243235632 273640086 364853448 547280172 729706896 1094560344 2189120688