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2231065040 = 245173152919
BaseRepresentation
bin1000010011111011…
…0101100111010000
312202111010211212112
42010332311213100
514032123040130
61005215244452
7106200511541
oct20476654720
95674124775
102231065040
11a45418206
12523219728
132972ba339
141724464c8
15d0d06495
hex84fb59d0

2231065040 has 80 divisors (see below), whose sum is σ = 5669637120. Its totient is φ = 812820480.

The previous prime is 2231064931. The next prime is 2231065069. The reversal of 2231065040 is 405601322.

2231065040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22310650403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231064997 and 2231065015.

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, 15701 + ... + 68619.

It is an arithmetic number, because the mean of its divisors is an integer number (70870464).

Almost surely, 22231065040 is an apocalyptic number.

2231065040 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 2231065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834818560).

2231065040 is an abundant number, since it is smaller than the sum of its proper divisors (3438572080).

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

2231065040 is a wasteful number, since it uses less digits than its factorization.

2231065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52980 (or 52974 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2231065040 is about 47234.1512043987. The cubic root of 2231065040 is about 1306.6845125750.

Adding to 2231065040 its reverse (405601322), we get a palindrome (2636666362).

The spelling of 2231065040 in words is "two billion, two hundred thirty-one million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 8432 10540 21080 42160 52919 105838 211676 264595 423352 529190 846704 899623 1058380 1640489 1799246 2116760 3280978 3598492 4233520 4498115 6561956 7196984 8202445 8996230 13123912 14393968 16404890 17992460 26247824 27888313 32809780 35984920 55776626 65619560 71969840 111553252 131239120 139441565 223106504 278883130 446213008 557766260 1115532520 2231065040