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2234021334240 = 25358815282873
BaseRepresentation
bin100000100000100110000…
…011000100110011100000
321220120101210021101100210
4200200212003010303200
5243100233430143430
64430143434214120
7320255063011323
oct40404603046340
97816353241323
102234021334240
11791496890a43
12300b75284340
1313288a0c9847
147a1ad0c47ba
153d1a31172b0
hex208260c4ce0

2234021334240 has 96 divisors (see below), whose sum is σ = 7045156240416. Its totient is φ = 595062702080.

The previous prime is 2234021334197. The next prime is 2234021334287. The reversal of 2234021334240 is 424331204322.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2234021334198 and 2234021334207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2218557 + ... + 3064316.

It is an arithmetic number, because the mean of its divisors is an integer number (73387044171).

Almost surely, 22234021334240 is an apocalyptic number.

2234021334240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234021334240 is an abundant number, since it is smaller than the sum of its proper divisors (4811134906176).

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

2234021334240 is a wasteful number, since it uses less digits than its factorization.

2234021334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283772 (or 5283764 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2234021334240 its reverse (424331204322), we get a palindrome (2658352538562).

The spelling of 2234021334240 in words is "two trillion, two hundred thirty-four billion, twenty-one million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 881 1762 2643 3524 4405 5286 7048 8810 10572 13215 14096 17620 21144 26430 28192 35240 42288 52860 70480 84576 105720 140960 211440 422880 5282873 10565746 15848619 21131492 26414365 31697238 42262984 52828730 63394476 79243095 84525968 105657460 126788952 158486190 169051936 211314920 253577904 316972380 422629840 507155808 633944760 845259680 1267889520 2535779040 4654211113 9308422226 13962633339 18616844452 23271055565 27925266678 37233688904 46542111130 55850533356 69813166695 74467377808 93084222260 111701066712 139626333390 148934755616 186168444520 223402133424 279252666780 372336889040 446804266848 558505333560 744673778080 1117010667120 2234021334240