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2280237024 = 253134342491
BaseRepresentation
bin1000011111101001…
…1010011111100000
312212220200001011010
42013322122133200
514132220041044
61014133220520
7110335460232
oct20772323740
95786601133
102280237024
11a7015290a
12537791740
132a45458a0
14178ba6252
15d52babb9
hex87e9a7e0

2280237024 has 96 divisors (see below), whose sum is σ = 6596118144. Its totient is φ = 685278720.

The previous prime is 2280236993. The next prime is 2280237031. The reversal of 2280237024 is 4207320822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2280236982 and 2280237000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32419 + ... + 74909.

It is an arithmetic number, because the mean of its divisors is an integer number (68709564).

Almost surely, 22280237024 is an apocalyptic number.

2280237024 is a gapful number since it is divisible by the number (24) 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 2280237024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298059072).

2280237024 is an abundant number, since it is smaller than the sum of its proper divisors (4315881120).

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

2280237024 is a wasteful number, since it uses less digits than its factorization.

2280237024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42560 (or 42552 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2280237024 is about 47751.8274414708. The cubic root of 2280237024 is about 1316.2144801830.

Adding to 2280237024 its reverse (4207320822), we get a palindrome (6487557846).

The spelling of 2280237024 in words is "two billion, two hundred eighty million, two hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 13416 17888 26832 42491 53664 84982 127473 169964 254946 339928 509892 552383 679856 1019784 1104766 1359712 1657149 1827113 2039568 2209532 3314298 3654226 4079136 4419064 5481339 6628596 7308452 8838128 10962678 13257192 14616904 17676256 21925356 23752469 26514384 29233808 43850712 47504938 53028768 58467616 71257407 87701424 95009876 142514814 175402848 190019752 285029628 380039504 570059256 760079008 1140118512 2280237024