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2220034432 = 27711220477
BaseRepresentation
bin1000010001010011…
…0000100110000000
312201201101102201111
42010110300212000
514021312100212
61004143013104
7106004660410
oct20424604600
95651342644
102220034432
11a3a173800
1251b59a194
13294c27655
14170bb4640
15ced77ea7
hex84530980

2220034432 has 96 divisors (see below), whose sum is σ = 5556090960. Its totient is φ = 864906240.

The previous prime is 2220034429. The next prime is 2220034483. The reversal of 2220034432 is 2344300222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98178 + ... + 118654.

Almost surely, 22220034432 is an apocalyptic number.

2220034432 is a gapful number since it is divisible by the number (22) 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 2220034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778045480).

2220034432 is an abundant number, since it is smaller than the sum of its proper divisors (3336056528).

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

2220034432 is a wasteful number, since it uses less digits than its factorization.

2220034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20520 (or 20497 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2220034432 is about 47117.2413453929. The cubic root of 2220034432 is about 1304.5274943187.

Adding to 2220034432 its reverse (2344300222), we get a palindrome (4564334654).

The spelling of 2220034432 in words is "two billion, two hundred twenty million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 308 352 448 484 616 704 847 896 968 1232 1408 1694 1936 2464 3388 3872 4928 6776 7744 9856 13552 15488 20477 27104 40954 54208 81908 108416 143339 163816 225247 286678 327632 450494 573356 655264 900988 1146712 1310528 1576729 1801976 2293424 2477717 2621056 3153458 3603952 4586848 4955434 6306916 7207904 9173696 9910868 12613832 14415808 17344019 18347392 19821736 25227664 28831616 34688038 39643472 50455328 69376076 79286944 100910656 138752152 158573888 201821312 277504304 317147776 555008608 1110017216 2220034432