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220312323132 = 223111998389363
BaseRepresentation
bin1100110100101110100…
…0110100010000111100
3210001122221111121112120
43031023220310100330
512102144423320012
6245113213402540
721626354563656
oct3151350642074
9701587447476
10220312323132
1185485621210
1236846199450
1317a1061a9a5
14a93da676d6
155ae683558c
hex334ba3443c

220312323132 has 96 divisors (see below), whose sum is σ = 590917662720. Its totient is φ = 63182508480.

The previous prime is 220312323109. The next prime is 220312323193. The reversal of 220312323132 is 231323213022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2420683 + ... + 2510045.

It is an arithmetic number, because the mean of its divisors is an integer number (6155392320).

Almost surely, 2220312323132 is an apocalyptic number.

220312323132 is a gapful number since it is divisible by the number (22) 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 220312323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295458831360).

220312323132 is an abundant number, since it is smaller than the sum of its proper divisors (370605339588).

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

220312323132 is a wasteful number, since it uses less digits than its factorization.

220312323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90383 (or 90381 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220312323132 its reverse (231323213022), we get a palindrome (451635536154).

The spelling of 220312323132 in words is "two hundred twenty billion, three hundred twelve million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 983 1254 1966 2508 2949 3932 5898 10813 11796 18677 21626 32439 37354 43252 56031 64878 74708 89363 112062 129756 178726 205447 224124 268089 357452 410894 536178 616341 821788 982993 1072356 1232682 1697897 1965986 2465364 2948979 3395794 3931972 5093691 5897958 6791588 10187382 11795916 18676867 20374764 37353734 56030601 74707468 87843829 112061202 175687658 224122404 263531487 351375316 527062974 966282119 1054125948 1669032751 1932564238 2898846357 3338065502 3865128476 5007098253 5797692714 6676131004 10014196506 11595385428 18359360261 20028393012 36718720522 55078080783 73437441044 110156161566 220312323132