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1325240220 = 223523243971
BaseRepresentation
bin100111011111101…
…1000111110011100
310102100200011211010
41032333120332130
510203230141340
6335300255220
744561233053
oct11677307634
93370604733
101325240220
11620077657
1230b9a1510
13181734615
14c801139a
157b528b80
hex4efd8f9c

1325240220 has 144 divisors (see below), whose sum is σ = 3973318272. Its totient is φ = 329831040.

The previous prime is 1325240207. The next prime is 1325240221. The reversal of 1325240220 is 220425231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325240221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364335 + ... + 1365305.

It is an arithmetic number, because the mean of its divisors is an integer number (27592488).

Almost surely, 21325240220 is an apocalyptic number.

1325240220 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 1325240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986659136).

1325240220 is an abundant number, since it is smaller than the sum of its proper divisors (2648078052).

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

1325240220 is a wasteful number, since it uses less digits than its factorization.

1325240220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1325240220 is about 36403.8489723271. The cubic root of 1325240220 is about 1098.4109894386.

Adding to 1325240220 its reverse (220425231), we get a palindrome (1545665451).

The spelling of 1325240220 in words is "one billion, three hundred twenty-five million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 43 46 60 69 86 92 115 129 138 172 215 230 258 276 345 430 460 516 529 645 690 860 971 989 1058 1290 1380 1587 1942 1978 2116 2580 2645 2913 2967 3174 3884 3956 4855 4945 5290 5826 5934 6348 7935 9710 9890 10580 11652 11868 14565 14835 15870 19420 19780 22333 22747 29130 29670 31740 41753 44666 45494 58260 59340 66999 68241 83506 89332 90988 111665 113735 125259 133998 136482 167012 208765 223330 227470 250518 267996 272964 334995 341205 417530 446660 454940 501036 513659 626295 669990 682410 835060 960319 1027318 1252590 1339980 1364820 1540977 1920638 2054636 2505180 2568295 2880957 3081954 3841276 4801595 5136590 5761914 6163908 7704885 9603190 10273180 11523828 14404785 15409770 19206380 22087337 28809570 30819540 44174674 57619140 66262011 88349348 110436685 132524022 220873370 265048044 331310055 441746740 662620110 1325240220