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22047604481440 = 255619181246049
BaseRepresentation
bin1010000001101010110111…
…01000100001110110100000
32220001201201110112120120001
411000311123220201312200
510342211443221401230
6114520310224225344
74433613122652406
oct500653350416640
986051643476501
1022047604481440
117030377a4a36a
122580b8216b254
13c3c10720ac05
14563177227476
1528379726a0ca
hex140d5ba21da0

22047604481440 has 96 divisors (see below), whose sum is σ = 52947340059600. Its totient is φ = 8673487257600.

The previous prime is 22047604481431. The next prime is 22047604481453. The reversal of 22047604481440 is 4418440674022.

It can be written as a sum of positive squares in 8 ways, for example, as 11671706966544 + 10375897514896 = 3416388^2 + 3221164^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89483536 + ... + 89729584.

Almost surely, 222047604481440 is an apocalyptic number.

22047604481440 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 22047604481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26473670029800).

22047604481440 is an abundant number, since it is smaller than the sum of its proper divisors (30899735578160).

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

22047604481440 is a wasteful number, since it uses less digits than its factorization.

22047604481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255306 (or 255298 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 46.

The spelling of 22047604481440 in words is "twenty-two trillion, forty-seven billion, six hundred four million, four hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9181 9760 18362 36724 45905 73448 91810 146896 183620 246049 293792 367240 492098 560041 734480 984196 1120082 1230245 1468960 1968392 2240164 2460490 2800205 3936784 4480328 4920980 5600410 7873568 8960656 9841960 11200820 15008989 17921312 19683920 22401640 30017978 39367840 44803280 60035956 75044945 89606560 120071912 150089890 240143824 300179780 480287648 600359560 1200719120 2258975869 2401438240 4517951738 9035903476 11294879345 18071806952 22589758690 36143613904 45179517380 72287227808 90359034760 137797528009 180718069520 275595056018 361436139040 551190112036 688987640045 1102380224072 1377975280090 2204760448144 2755950560180 4409520896288 5511901120360 11023802240720 22047604481440