Search a number
-
+
222044442880 = 28513127105071
BaseRepresentation
bin1100111011001011100…
…0010101000100000000
3210020010122210102010211
43032302320111010000
512114221334133010
6250001131003504
722020316423531
oct3166270250400
9706118712124
10222044442880
1186194332437
123704a299594
1317c28432010
14aa65b10688
155b9893108a
hex33b2e15100

222044442880 has 144 divisors (see below), whose sum is σ = 577294147584. Its totient is φ = 81339310080.

The previous prime is 222044442871. The next prime is 222044442943. The reversal of 222044442880 is 88244440222.

It is a happy number.

It is a super-2 number, since 2×2220444428802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2060745 + ... + 2165815.

It is an arithmetic number, because the mean of its divisors is an integer number (4008987136).

Almost surely, 2222044442880 is an apocalyptic number.

222044442880 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 222044442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288647073792).

222044442880 is an abundant number, since it is smaller than the sum of its proper divisors (355249704704).

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

222044442880 is a wasteful number, since it uses less digits than its factorization.

222044442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105232 (or 105218 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 222044442880 in words is "two hundred twenty-two billion, forty-four million, four hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 127 128 130 160 208 254 256 260 320 416 508 520 635 640 832 1016 1040 1270 1280 1651 1664 2032 2080 2540 3302 3328 4064 4160 5080 6604 8128 8255 8320 10160 13208 16256 16510 16640 20320 26416 32512 33020 40640 52832 66040 81280 105071 105664 132080 162560 210142 211328 264160 420284 422656 525355 528320 840568 1050710 1056640 1365923 1681136 2101420 2113280 2731846 3362272 4202840 5463692 6724544 6829615 8405680 10927384 13344017 13449088 13659230 16811360 21854768 26688034 26898176 27318460 33622720 43709536 53376068 54636920 66720085 67245440 87419072 106752136 109273840 133440170 134490880 173472221 174838144 213504272 218547680 266880340 346944442 349676288 427008544 437095360 533760680 693888884 854017088 867361105 874190720 1067521360 1387777768 1708034176 1734722210 1748381440 2135042720 2775555536 3416068352 3469444420 4270085440 5551111072 6938888840 8540170880 11102222144 13877777680 17080341760 22204444288 27755555360 44408888576 55511110720 111022221440 222044442880