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2221211131164 = 223517989127033
BaseRepresentation
bin100000010100101010100…
…000000001110100011100
321212100100000121122100000
4200110222200001310130
5242343020022144124
64420224343134300
7316322453044434
oct40245240016434
97770300548300
102221211131164
1178701285a853
122ba59b144390
131315c814c01c
1479715a432c4
153cba36a66c9
hex2052a801d1c

2221211131164 has 72 divisors (see below), whose sum is σ = 5823050549680. Its totient is φ = 740356723584.

The previous prime is 2221211131103. The next prime is 2221211131189. The reversal of 2221211131164 is 4611311121222.

2221211131164 is a `hidden beast` number, since 22 + 212 + 111 + 311 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 17421792 + ... + 17548824.

Almost surely, 22221211131164 is an apocalyptic number.

It is an amenable number.

2221211131164 is an abundant number, since it is smaller than the sum of its proper divisors (3601839418516).

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

2221211131164 is a wasteful number, since it uses less digits than its factorization.

2221211131164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145041 (or 145027 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 2221211131164 its reverse (4611311121222), we get a palindrome (6832522252386).

The spelling of 2221211131164 in words is "two trillion, two hundred twenty-one billion, two hundred eleven million, one hundred thirty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 17989 35978 53967 71956 107934 127033 161901 215868 254066 323802 381099 485703 508132 647604 762198 971406 1143297 1457109 1524396 1942812 2286594 2914218 3429891 4371327 4573188 5828436 6859782 8742654 10289673 13719564 17485308 20579346 30869019 41158692 61738038 123476076 2285196637 4570393274 6855589911 9140786548 13711179822 20566769733 27422359644 41133539466 61700309199 82267078932 123400618398 185100927597 246801236796 370201855194 555302782791 740403710388 1110605565582 2221211131164