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232320023232 = 263113909091
BaseRepresentation
bin1101100001011101011…
…0100011101011000000
3211012122210002222102220
43120113112203223000
512301242411220412
6254420520211040
722533051420663
oct3302726435300
9735583088386
10232320023232
118a587662000
1239037609a80
1318ba524a28b
14b35c6cb6da
15609aac768c
hex36175a3ac0

232320023232 has 112 divisors (see below), whose sum is σ = 676102629504. Its totient is φ = 70399929600.

The previous prime is 232320023227. The next prime is 232320023233.

232320023232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (232320023233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198994 + ... + 710097.

Almost surely, 2232320023232 is an apocalyptic number.

232320023232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232320023232 is an abundant number, since it is smaller than the sum of its proper divisors (443782606272).

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

232320023232 is an equidigital number, since it uses as much as digits as its factorization.

232320023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909139 (or 909107 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 2323200 and 23232, that multiplied together give a square (53972582400 = 2323202).

The spelling of 232320023232 in words is "two hundred thirty-two billion, three hundred twenty million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1331 1452 1936 2112 2662 2904 3872 3993 5324 5808 7744 7986 10648 11616 15972 21296 23232 31944 42592 63888 85184 127776 255552 909091 1818182 2727273 3636364 5454546 7272728 10000001 10909092 14545456 20000002 21818184 29090912 30000003 40000004 43636368 58181824 60000006 80000008 87272736 110000011 120000012 160000016 174545472 220000022 240000024 320000032 330000033 440000044 480000048 640000064 660000066 880000088 960000096 1210000121 1320000132 1760000176 1920000192 2420000242 2640000264 3520000352 3630000363 4840000484 5280000528 7040000704 7260000726 9680000968 10560001056 14520001452 19360001936 21120002112 29040002904 38720003872 58080005808 77440007744 116160011616 232320023232