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34440120220 = 225113137136483
BaseRepresentation
bin100000000100110010…
…101000011110011100
310021220012011101021011
4200010302220132130
51031013132321340
623453243145004
72326313122522
oct400462503634
9107805141234
1034440120220
1113673606080
126811b15164
13332b23457c
14194a008312
15d6883a0ea
hex804ca879c

34440120220 has 96 divisors (see below), whose sum is σ = 83646130176. Its totient is φ = 11792044800.

The previous prime is 34440120163. The next prime is 34440120241. The reversal of 34440120220 is 2202104443.

It is a happy number.

It is a super-2 number, since 2×344401202202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34440120191 and 34440120200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184099 + ... + 320581.

It is an arithmetic number, because the mean of its divisors is an integer number (871313856).

Almost surely, 234440120220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34440120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41823065088).

34440120220 is an abundant number, since it is smaller than the sum of its proper divisors (49206009956).

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

34440120220 is a wasteful number, since it uses less digits than its factorization.

34440120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136571 (or 136569 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34440120220 its reverse (2202104443), we get a palindrome (36642224663).

The spelling of 34440120220 in words is "thirty-four billion, four hundred forty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 37 44 55 62 74 110 124 148 155 185 220 310 341 370 407 620 682 740 814 1147 1364 1628 1705 2035 2294 3410 4070 4588 5735 6820 8140 11470 12617 22940 25234 50468 63085 126170 136483 252340 272966 545932 682415 1364830 1501313 2729660 3002626 4230973 5049871 6005252 7506565 8461946 10099742 15013130 16923892 20199484 21154865 25249355 30026260 42309730 46540703 50498710 55548581 84619460 93081406 100997420 111097162 156546001 186162812 222194324 232703515 277742905 313092002 465407030 555485810 626184004 782730005 930814060 1110971620 1565460010 1722006011 3130920020 3444012022 6888024044 8610030055 17220060110 34440120220