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2253130240 = 2953312659
BaseRepresentation
bin1000011001001100…
…0000101000000000
312211000122212122011
42012103000220000
514103300131430
61011324222304
7106556201554
oct20623005000
95730585564
102253130240
11a56919109
1252a69a994
1329ba4477a
1417534b864
15d2c1422a
hex864c0a00

2253130240 has 80 divisors (see below), whose sum is σ = 5420590560. Its totient is φ = 898191360.

The previous prime is 2253130157. The next prime is 2253130267. The reversal of 2253130240 is 420313522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846031 + ... + 848689.

It is an arithmetic number, because the mean of its divisors is an integer number (67757382).

Almost surely, 22253130240 is an apocalyptic number.

2253130240 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 2253130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710295280).

2253130240 is an abundant number, since it is smaller than the sum of its proper divisors (3167460320).

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

2253130240 is an equidigital number, since it uses as much as digits as its factorization.

2253130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2253130240 is about 47467.1490612192. The cubic root of 2253130240 is about 1310.9780858579.

Adding to 2253130240 its reverse (420313522), we get a palindrome (2673443762).

The spelling of 2253130240 in words is "two billion, two hundred fifty-three million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 331 512 640 662 1280 1324 1655 2560 2648 2659 3310 5296 5318 6620 10592 10636 13240 13295 21184 21272 26480 26590 42368 42544 52960 53180 84736 85088 105920 106360 169472 170176 211840 212720 340352 423680 425440 680704 847360 850880 880129 1361408 1701760 1760258 3403520 3520516 4400645 6807040 7041032 8801290 14082064 17602580 28164128 35205160 56328256 70410320 112656512 140820640 225313024 281641280 450626048 563282560 1126565120 2253130240