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2220064440 = 2335112152897
BaseRepresentation
bin1000010001010011…
…0111111010111000
312201201102221212220
42010110313322320
514021314030230
61004143404040
7106005144036
oct20424677270
95651387786
102220064440
11a3a194300
1251b5b3620
13294c381c9
14170bc1556
15ced81d10
hex84537eb8

2220064440 has 96 divisors (see below), whose sum is σ = 7320756240. Its totient is φ = 538193920.

The previous prime is 2220064409. The next prime is 2220064447. The reversal of 2220064440 is 444600222.

2220064440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22200644402 = 9857372235505027200, which contains 22 as substring.

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 2220064440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220064447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61929 + ... + 90968.

Almost surely, 22220064440 is an apocalyptic number.

2220064440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220064440 is an abundant number, since it is smaller than the sum of its proper divisors (5100691800).

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

2220064440 is a wasteful number, since it uses less digits than its factorization.

2220064440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152933 (or 152918 counting only the distinct ones).

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

The square root of 2220064440 is about 47117.5597840126. The cubic root of 2220064440 is about 1304.5333720180.

Adding to 2220064440 its reverse (444600222), we get a palindrome (2664664662).

The spelling of 2220064440 in words is "two billion, two hundred twenty million, sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 152897 305794 458691 611588 764485 917382 1223176 1528970 1681867 1834764 2293455 3057940 3363734 3669528 4586910 5045601 6115880 6727468 8409335 9173820 10091202 13454936 16818670 18347640 18500537 20182404 25228005 33637340 37001074 40364808 50456010 55501611 67274680 74002148 92502685 100912020 111003222 148004296 185005370 201824040 222006444 277508055 370010740 444012888 555016110 740021480 1110032220 2220064440