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2273049040 = 245191977591
BaseRepresentation
bin1000011101111011…
…1111100111010000
312212102010212002111
42013132333213100
514123400032130
61013315155104
7110220412063
oct20736774720
95772125074
102273049040
11a67093429
125352a5a94
132a2bc9c42
14177c548da
15d484b02a
hex877bf9d0

2273049040 has 80 divisors (see below), whose sum is σ = 5591963520. Its totient is φ = 856880640.

The previous prime is 2273049017. The next prime is 2273049041. The reversal of 2273049040 is 409403722.

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

It is a junction number, because it is equal to n+sod(n) for n = 2273048993 and 2273049011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273049041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295645 + ... + 303235.

It is an arithmetic number, because the mean of its divisors is an integer number (69899544).

Almost surely, 22273049040 is an apocalyptic number.

2273049040 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 2273049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795981760).

2273049040 is an abundant number, since it is smaller than the sum of its proper divisors (3318914480).

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

2273049040 is a wasteful number, since it uses less digits than its factorization.

2273049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 2273049040 is about 47676.5040664686. The cubic root of 2273049040 is about 1314.8299914669.

The spelling of 2273049040 in words is "two billion, two hundred seventy-three million, forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 197 304 380 394 760 788 985 1520 1576 1970 3152 3743 3940 7486 7591 7880 14972 15182 15760 18715 29944 30364 37430 37955 59888 60728 74860 75910 121456 144229 149720 151820 288458 299440 303640 576916 607280 721145 1153832 1442290 1495427 2307664 2884580 2990854 5769160 5981708 7477135 11538320 11963416 14954270 23926832 28413113 29908540 56826226 59817080 113652452 119634160 142065565 227304904 284131130 454609808 568262260 1136524520 2273049040