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2411312220 = 2233521121163
BaseRepresentation
bin1000111110111001…
…1011010001011100
320020001022100112000
42033232123101130
514414243442340
61035134442300
7113516546532
oct21756332134
96201270460
102411312220
111028139619
12573663390
132c5749885
1418c366152
15e1a5cd30
hex8fb9b45c

2411312220 has 96 divisors (see below), whose sum is σ = 7537770240. Its totient is φ = 639938880.

The previous prime is 2411312219. The next prime is 2411312257. The reversal of 2411312220 is 222131142.

It is a happy number.

2411312220 is a `hidden beast` number, since 2 + 411 + 31 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2411312193 and 2411312202.

It is a congruent 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, 103359 + ... + 124521.

It is an arithmetic number, because the mean of its divisors is an integer number (78518440).

Almost surely, 22411312220 is an apocalyptic number.

2411312220 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 2411312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768885120).

2411312220 is an abundant number, since it is smaller than the sum of its proper divisors (5126458020).

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

2411312220 is a wasteful number, since it uses less digits than its factorization.

2411312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21392 (or 21384 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2411312220 is about 49105.1139902964. The cubic root of 2411312220 is about 1340.9661518215.

Adding to 2411312220 its reverse (222131142), we get a palindrome (2633443362).

The spelling of 2411312220 in words is "two billion, four hundred eleven million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 211 270 422 540 633 844 1055 1266 1899 2110 2532 3165 3798 4220 5697 6330 7596 9495 11394 12660 18990 21163 22788 28485 37980 42326 56970 63489 84652 105815 113940 126978 190467 211630 253956 317445 380934 423260 571401 634890 761868 952335 1142802 1269780 1904670 2285604 2857005 3809340 4465393 5714010 8930786 11428020 13396179 17861572 22326965 26792358 40188537 44653930 53584716 66980895 80377074 89307860 120565611 133961790 160754148 200942685 241131222 267923580 401885370 482262444 602828055 803770740 1205656110 2411312220