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22141232300 = 225211315312251
BaseRepresentation
bin10100100111101110…
…000110010010101100
32010011001122010202202
4110213232012102230
5330321123413200
614101015241032
71412452240445
oct244756062254
963131563682
1022141232300
11943216a5a0
12435b079178
13211b1a11b5
1411008262cc
15898c2a1d5
hex527b864ac

22141232300 has 144 divisors (see below), whose sum is σ = 55130471424. Its totient is φ = 7644000000.

The previous prime is 22141232291. The next prime is 22141232329. The reversal of 22141232300 is 323214122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1801175 + ... + 1813425.

It is an arithmetic number, because the mean of its divisors is an integer number (382850496).

Almost surely, 222141232300 is an apocalyptic number.

22141232300 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 22141232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27565235712).

22141232300 is an abundant number, since it is smaller than the sum of its proper divisors (32989239124).

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

22141232300 is a wasteful number, since it uses less digits than its factorization.

22141232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22141232300 its reverse (323214122), we get a palindrome (22464446422).

The spelling of 22141232300 in words is "twenty-two billion, one hundred forty-one million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 53 55 62 100 106 110 124 155 212 220 265 275 310 341 530 550 583 620 682 775 1060 1100 1166 1325 1364 1550 1643 1705 2332 2650 2915 3100 3286 3410 5300 5830 6572 6820 8215 8525 11660 12251 14575 16430 17050 18073 24502 29150 32860 34100 36146 41075 49004 58300 61255 72292 82150 90365 122510 134761 164300 180730 245020 269522 306275 361460 379781 451825 539044 612550 649303 673805 759562 903650 1225100 1298606 1347610 1519124 1807300 1898905 2597212 2695220 3246515 3369025 3797810 4177591 6493030 6738050 7142333 7595620 8355182 9494525 12986060 13476100 14284666 16232575 16710364 18989050 20128393 20887955 28569332 32465150 35711665 37978100 40256786 41775910 64930300 71423330 80513572 83551820 100641965 104439775 142846660 178558325 201283930 208879550 221412323 357116650 402567860 417759100 442824646 503209825 714233300 885649292 1006419650 1107061615 2012839300 2214123230 4428246460 5535308075 11070616150 22141232300