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688222040 = 235112835527
BaseRepresentation
bin101001000001010…
…110111101011000
31202222000022011012
4221001112331120
52402141101130
6152142553052
723024535152
oct5101267530
91688008135
10688222040
11323535450
12172598788
13ac77749c
146758dad2
1540647995
hex29056f58

688222040 has 64 divisors (see below), whose sum is σ = 1695548160. Its totient is φ = 249333120.

The previous prime is 688222039. The next prime is 688222091. The reversal of 688222040 is 40222886.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 688221988 and 688222006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121757 + ... + 127283.

It is an arithmetic number, because the mean of its divisors is an integer number (26492940).

Almost surely, 2688222040 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 688222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847774080).

688222040 is an abundant number, since it is smaller than the sum of its proper divisors (1007326120).

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

688222040 is a wasteful number, since it uses less digits than its factorization.

688222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 688222040 is about 26233.9863535834. The cubic root of 688222040 is about 882.8959518145.

The spelling of 688222040 in words is "six hundred eighty-eight million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 283 440 566 1132 1415 2264 2830 3113 5527 5660 6226 11054 11320 12452 15565 22108 24904 27635 31130 44216 55270 60797 62260 110540 121594 124520 221080 243188 303985 486376 607970 1215940 1564141 2431880 3128282 6256564 7820705 12513128 15641410 17205551 31282820 34411102 62565640 68822204 86027755 137644408 172055510 344111020 688222040