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22444213120 = 27576182129
BaseRepresentation
bin10100111001110001…
…111000001110000000
32010221011202011022121
4110321301320032000
5331431204304440
614151041214024
71423121443450
oct247161701600
963834664277
1022444213120
11957819a56a
124424631314
132168ba39a4
14112cb73d60
158b562734a
hex539c78380

22444213120 has 128 divisors (see below), whose sum is σ = 62326814400. Its totient is φ = 7568916480.

The previous prime is 22444213039. The next prime is 22444213157. The reversal of 22444213120 is 2131244422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 232216 + ... + 314344.

Almost surely, 222444213120 is an apocalyptic number.

22444213120 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 22444213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31163407200).

22444213120 is an abundant number, since it is smaller than the sum of its proper divisors (39882601280).

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

22444213120 is an equidigital number, since it uses as much as digits as its factorization.

22444213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82216 (or 82204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22444213120 its reverse (2131244422), we get a palindrome (24575457542).

The spelling of 22444213120 in words is "twenty-two billion, four hundred forty-four million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 128 140 160 224 244 280 305 320 427 448 488 560 610 640 854 896 976 1120 1220 1708 1952 2135 2240 2440 3416 3904 4270 4480 4880 6832 7808 8540 9760 13664 17080 19520 27328 34160 39040 54656 68320 82129 136640 164258 273280 328516 410645 574903 657032 821290 1149806 1314064 1642580 2299612 2628128 2874515 3285160 4599224 5009869 5256256 5749030 6570320 9198448 10019738 10512512 11498060 13140640 18396896 20039476 22996120 25049345 26281280 35069083 36793792 40078952 45992240 50098690 52562560 70138166 73587584 80157904 91984480 100197380 140276332 160315808 175345415 183968960 200394760 280552664 320631616 350690830 367937920 400789520 561105328 641263232 701381660 801579040 1122210656 1402763320 1603158080 2244421312 2805526640 3206316160 4488842624 5611053280 11222106560 22444213120