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2242240301400 = 2335211339733379
BaseRepresentation
bin100000101000001111111…
…011111100100101011000
321221100121120201011201220
4200220033323330211120
5243214102004121100
64434023155212040
7320665543043601
oct40501773744530
97840546634656
102242240301400
11794a24216690
123026898a7020
13133599b08218
147a74c8aada8
153d4d4966aa0
hex20a0fefc958

2242240301400 has 96 divisors (see below), whose sum is σ = 7582849041600. Its totient is φ = 543573404800.

The previous prime is 2242240301381. The next prime is 2242240301437. The reversal of 2242240301400 is 41030422422.

2242240301400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169860090 + ... + 169873289.

It is an arithmetic number, because the mean of its divisors is an integer number (78988010850).

Almost surely, 22242240301400 is an apocalyptic number.

2242240301400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242240301400 is an abundant number, since it is smaller than the sum of its proper divisors (5340608740200).

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

2242240301400 is a wasteful number, since it uses less digits than its factorization.

2242240301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339733409 (or 339733400 counting only the distinct ones).

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

Adding to 2242240301400 its reverse (41030422422), we get a palindrome (2283270723822).

It can be divided in two parts, 2242240 and 301400, that added together give a triangular number (2543640 = T2255).

The spelling of 2242240301400 in words is "two trillion, two hundred forty-two billion, two hundred forty million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 339733379 679466758 1019200137 1358933516 1698666895 2038400274 2717867032 3397333790 3737067169 4076800548 5096000685 6794667580 7474134338 8153601096 8493334475 10192001370 11211201507 13589335160 14948268676 16986668950 18685335845 20384002740 22422403014 25480003425 29896537352 33973337900 37370671690 40768005480 44844806028 50960006850 56056007535 67946675800 74741343380 89689612056 93426679225 101920013700 112112015070 149482686760 186853358450 203840027400 224224030140 280280037675 373706716900 448448060280 560560075350 747413433800 1121120150700 2242240301400