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3232002220032 = 21331311003897
BaseRepresentation
bin101111000010000010010…
…110000010000000000000
3102102222100210101011212010
4233002002112002000000
5410423120032020112
610512432240132520
7452335012406115
oct57020226020000
912388323334763
103232002220032
111036758aa4503
12442473007140
131a5a12c87b41
14b26032d890c
155911249263c
hex2f082582000

3232002220032 has 112 divisors (see below), whose sum is σ = 8683942573152. Its totient is φ = 1069109084160.

The previous prime is 3232002220021. The next prime is 3232002220037. The reversal of 3232002220032 is 2300222002323.

It is a junction number, because it is equal to n+sod(n) for n = 3232002219990 and 3232002220008.

It is not an unprimeable number, because it can be changed into a prime (3232002220037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2717508 + ... + 3721404.

It is an arithmetic number, because the mean of its divisors is an integer number (77535201546).

Almost surely, 23232002220032 is an apocalyptic number.

3232002220032 is a gapful number since it is divisible by the number (32) 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 3232002220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341971286576).

3232002220032 is an abundant number, since it is smaller than the sum of its proper divisors (5451940353120).

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

3232002220032 is a wasteful number, since it uses less digits than its factorization.

3232002220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004057 (or 1004033 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 3232002220032 its reverse (2300222002323), we get a palindrome (5532224222355).

The spelling of 3232002220032 in words is "three trillion, two hundred thirty-two billion, two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 768 786 1024 1048 1536 1572 2048 2096 3072 3144 4096 4192 6144 6288 8192 8384 12288 12576 16768 24576 25152 33536 50304 67072 100608 134144 201216 268288 402432 536576 804864 1003897 1073152 1609728 2007794 3011691 3219456 4015588 6023382 8031176 12046764 16062352 24093528 32124704 48187056 64249408 96374112 128498816 131510507 192748224 256997632 263021014 385496448 394531521 513995264 526042028 770992896 789063042 1027990528 1052084056 1541985792 1578126084 2055981056 2104168112 3083971584 3156252168 4111962112 4208336224 6167943168 6312504336 8223924224 8416672448 12335886336 12625008672 16833344896 24671772672 25250017344 33666689792 50500034688 67333379584 101000069376 134666759168 202000138752 269333518336 404000277504 538667036672 808000555008 1077334073344 1616001110016 3232002220032