Search a number
-
+
2171140620 = 2235113539319
BaseRepresentation
bin1000000101101000…
…1111101000001100
312121022101101000120
42001122033220030
513421302444440
6555235024540
7104542251015
oct20132175014
95538341016
102171140620
11a146090a0
1250713b150
13287a688bc
141684c800c
15ca91add0
hex8168fa0c

2171140620 has 96 divisors (see below), whose sum is σ = 6651348480. Its totient is φ = 524789760.

The previous prime is 2171140613. The next prime is 2171140627. The reversal of 2171140620 is 260411712.

It is an interprime number because it is at equal distance from previous prime (2171140613) and next prime (2171140627).

It is not an unprimeable number, because it can be changed into a prime (2171140627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228321 + ... + 237639.

It is an arithmetic number, because the mean of its divisors is an integer number (69284880).

Almost surely, 22171140620 is an apocalyptic number.

2171140620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 46595×46596.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171140620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325674240).

2171140620 is an abundant number, since it is smaller than the sum of its proper divisors (4480207860).

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

2171140620 is a wasteful number, since it uses less digits than its factorization.

2171140620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695 (or 9693 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2171140620 is about 46595.4999973173. The cubic root of 2171140620 is about 1294.8793873049.

The spelling of 2171140620 in words is "two billion, one hundred seventy-one million, one hundred forty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 353 660 706 1059 1412 1765 2118 3530 3883 4236 5295 7060 7766 9319 10590 11649 15532 18638 19415 21180 23298 27957 37276 38830 46595 46596 55914 58245 77660 93190 102509 111828 116490 139785 186380 205018 232980 279570 307527 410036 512545 559140 615054 1025090 1230108 1537635 2050180 3075270 3289607 6150540 6579214 9868821 13158428 16448035 19737642 32896070 36185677 39475284 49344105 65792140 72371354 98688210 108557031 144742708 180928385 197376420 217114062 361856770 434228124 542785155 723713540 1085570310 2171140620