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2172336540 = 2235113499431
BaseRepresentation
bin1000000101111011…
…0011100110011100
312121101122010111220
42001132303212130
513422104232130
6555320413340
7104555361453
oct20136634634
95541563456
102172336540
11a15255660
12507617250
1328809704a
14168719b9a
15caaa5410
hex817b399c

2172336540 has 96 divisors (see below), whose sum is σ = 6655219200. Its totient is φ = 525062400.

The previous prime is 2172336503. The next prime is 2172336547. The reversal of 2172336540 is 456332712.

2172336540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172336547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225625 + ... + 235055.

It is an arithmetic number, because the mean of its divisors is an integer number (69325200).

Almost surely, 22172336540 is an apocalyptic number.

2172336540 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 2172336540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327609600).

2172336540 is an abundant number, since it is smaller than the sum of its proper divisors (4482882660).

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

2172336540 is a wasteful number, since it uses less digits than its factorization.

2172336540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9801 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2172336540 is about 46608.3312295130. The cubic root of 2172336540 is about 1295.1170946032.

The spelling of 2172336540 in words is "two billion, one hundred seventy-two million, three hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 349 660 698 1047 1396 1745 2094 3490 3839 4188 5235 6980 7678 9431 10470 11517 15356 18862 19195 20940 23034 28293 37724 38390 46068 47155 56586 57585 76780 94310 103741 113172 115170 141465 188620 207482 230340 282930 311223 414964 518705 565860 622446 1037410 1244892 1556115 2074820 3112230 3291419 6224460 6582838 9874257 13165676 16457095 19748514 32914190 36205609 39497028 49371285 65828380 72411218 98742570 108616827 144822436 181028045 197485140 217233654 362056090 434467308 543084135 724112180 1086168270 2172336540