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22055441042340 = 223251131084338301
BaseRepresentation
bin1010000001111001011101…
…01110101000101110100100
32220002110221121102010011100
411000330232232220232210
510342324020401323330
6114524044005040100
74434311250430626
oct500745656505644
986073847363140
1022055441042340
117033729536582
1225825aa6b6030
13c3ca859280b4
145636bbd08c16
15283aa522e060
hex140f2eba8ba4

22055441042340 has 72 divisors (see below), whose sum is σ = 67493553269688. Its totient is φ = 5829402700800.

The previous prime is 22055441042231. The next prime is 22055441042357. The reversal of 22055441042340 is 4324014455022.

22055441042340 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 5 + 4 + 410 + 4 + 234 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2673381962304 + 19382059080036 = 1635048^2 + 4402506^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22055441042295 and 22055441042304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542148811 + ... + 542189490.

It is an arithmetic number, because the mean of its divisors is an integer number (937410462079).

Almost surely, 222055441042340 is an apocalyptic number.

22055441042340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22055441042340 is an abundant number, since it is smaller than the sum of its proper divisors (45438112227348).

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

22055441042340 is a wasteful number, since it uses less digits than its factorization.

22055441042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084338429 (or 1084338424 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 22055441042340 its reverse (4324014455022), we get a palindrome (26379455497362).

The spelling of 22055441042340 in words is "twenty-two trillion, fifty-five billion, four hundred forty-one million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 1084338301 2168676602 3253014903 4337353204 5421691505 6506029806 9759044709 10843383010 13012059612 16265074515 19518089418 21686766020 32530149030 39036178836 48795223545 65060298060 97590447090 122530228013 195180894180 245060456026 367590684039 490120912052 612651140065 735181368078 1102772052117 1225302280130 1470362736156 1837953420195 2205544104234 2450604560260 3675906840390 4411088208468 5513860260585 7351813680780 11027720521170 22055441042340