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2234401440 = 253523919477
BaseRepresentation
bin1000010100101110…
…0100001010100000
312202201102100112220
42011023210022200
514034001321230
61005414551040
7106241045625
oct20513441240
95681370486
102234401440
11a47296967
12524368480
13297bb7b3b
14172a7434c
15d1264d10
hex852e42a0

2234401440 has 96 divisors (see below), whose sum is σ = 7068176640. Its totient is φ = 593316864.

The previous prime is 2234401439. The next prime is 2234401457. The reversal of 2234401440 is 441044322.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2234401440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104982 + ... + 124458.

It is an arithmetic number, because the mean of its divisors is an integer number (73626840).

Almost surely, 22234401440 is an apocalyptic number.

2234401440 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 2234401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534088320).

2234401440 is an abundant number, since it is smaller than the sum of its proper divisors (4833775200).

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

2234401440 is a wasteful number, since it uses less digits than its factorization.

2234401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19734 (or 19726 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2234401440 is about 47269.4556770014. The cubic root of 2234401440 is about 1307.3355395904.

Adding to 2234401440 its reverse (441044322), we get a palindrome (2675445762).

The spelling of 2234401440 in words is "two billion, two hundred thirty-four million, four hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 239 240 478 480 717 956 1195 1434 1912 2390 2868 3585 3824 4780 5736 7170 7648 9560 11472 14340 19120 19477 22944 28680 38240 38954 57360 58431 77908 97385 114720 116862 155816 194770 233724 292155 311632 389540 467448 584310 623264 779080 934896 1168620 1558160 1869792 2337240 3116320 4655003 4674480 9310006 9348960 13965009 18620012 23275015 27930018 37240024 46550030 55860036 69825045 74480048 93100060 111720072 139650090 148960096 186200120 223440144 279300180 372400240 446880288 558600360 744800480 1117200720 2234401440