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22312422400030 = 257478817697947
BaseRepresentation
bin1010001001011000001000…
…00000101110000000011110
32221000001021002011200121221
411010230010000232000132
510411031320113300110
6115242104011243554
74462006425064120
oct504540400560036
987001232150557
1022312422400030
117122710841124
1226043691495ba
13c5b08b193769
14571cd99c3210
1528a5e5dcd7da
hex144b0402e01e

22312422400030 has 64 divisors (see below), whose sum is σ = 46929647020032. Its totient is φ = 7478708497920.

The previous prime is 22312422400003. The next prime is 22312422400039. The reversal of 22312422400030 is 3000422421322.

It is a super-3 number, since 3×223124224000303 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22312422399968 and 22312422400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312422400039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950484 + ... + 6747463.

It is an arithmetic number, because the mean of its divisors is an integer number (733275734688).

Almost surely, 222312422400030 is an apocalyptic number.

22312422400030 is an abundant number, since it is smaller than the sum of its proper divisors (24617224620002).

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

22312422400030 is a wasteful number, since it uses less digits than its factorization.

22312422400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698889.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22312422400030 its reverse (3000422421322), we get a palindrome (25312844821352).

The spelling of 22312422400030 in words is "twenty-two trillion, three hundred twelve billion, four hundred twenty-two million, four hundred thousand, thirty".

Divisors: 1 2 5 7 10 14 35 47 70 94 235 329 470 658 881 1645 1762 3290 4405 6167 8810 12334 30835 41407 61670 82814 207035 289849 414070 579698 1449245 2898490 7697947 15395894 38489735 53885629 76979470 107771258 269428145 361803509 538856290 723607018 1809017545 2532624563 3618035090 5065249126 6781891307 12663122815 13563782614 25326245630 33909456535 47473239149 67818913070 94946478298 237366195745 318748891429 474732391490 637497782858 1593744457145 2231242240003 3187488914290 4462484480006 11156211200015 22312422400030