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22211233440 = 2535114206673
BaseRepresentation
bin10100101011111001…
…001000011010100000
32010022221100120021120
4110223321020122200
5330442033432230
614111555452240
71414262240424
oct245371103240
963287316246
1022211233440
119468731480
12437a5b7080
13212c8403a6
141109c48b84
1589ee56310
hex52be486a0

22211233440 has 96 divisors (see below), whose sum is σ = 76325893056. Its totient is φ = 5384540160.

The previous prime is 22211233439. The next prime is 22211233477. The reversal of 22211233440 is 4433211222.

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 22211233440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2098057 + ... + 2108616.

It is an arithmetic number, because the mean of its divisors is an integer number (795061386).

Almost surely, 222211233440 is an apocalyptic number.

22211233440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211233440 is an abundant number, since it is smaller than the sum of its proper divisors (54114659616).

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

22211233440 is a wasteful number, since it uses less digits than its factorization.

22211233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206702 (or 4206694 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22211233440 its reverse (4433211222), we get a palindrome (26644444662).

It can be divided in two parts, 222112 and 33440, that added together give a palindrome (255552).

The spelling of 22211233440 in words is "twenty-two billion, two hundred eleven million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 4206673 8413346 12620019 16826692 21033365 25240038 33653384 42066730 46273403 50480076 63100095 67306768 84133460 92546806 100960152 126200190 134613536 138820209 168266920 185093612 201920304 231367015 252400380 277640418 336533840 370187224 403840608 462734030 504800760 555280836 673067680 694101045 740374448 925468060 1009601520 1110561672 1388202090 1480748896 1850936120 2019203040 2221123344 2776404180 3701872240 4442246688 5552808360 7403744480 11105616720 22211233440