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232023320232 = 233115919497643
BaseRepresentation
bin1101100000010110101…
…0101110011010101000
3211011220002210220102220
43120011222232122220
512300140432221412
6254331240554040
722522516452444
oct3300552563250
9734802726386
10232023320232
118a44512a710
1238b74182920
1318b58935082
14b331135824
15607ea1a68c
hex3605aae6a8

232023320232 has 128 divisors (see below), whose sum is σ = 643930560000. Its totient is φ = 69073898240.

The previous prime is 232023320213. The next prime is 232023320261.

232023320232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2320233202322 (a number of 24 digits) contains 22 as substring.

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

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, 30353803 + ... + 30361445.

It is an arithmetic number, because the mean of its divisors is an integer number (5030707500).

Almost surely, 2232023320232 is an apocalyptic number.

232023320232 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 232023320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280000).

232023320232 is an abundant number, since it is smaller than the sum of its proper divisors (411907239768).

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

232023320232 is a wasteful number, since it uses less digits than its factorization.

232023320232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671 (or 9667 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, 232023 and 320232, that added together give a palindrome (552255).

The spelling of 232023320232 in words is "two hundred thirty-two billion, twenty-three million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 472 649 708 1298 1416 1947 1949 2596 3894 3898 5192 5847 7643 7788 7796 11694 15286 15576 15592 21439 22929 23388 30572 42878 45858 46776 61144 64317 84073 85756 91716 114991 128634 168146 171512 183432 229982 252219 257268 336292 344973 450937 459964 504438 514536 672584 689946 901874 919928 1008876 1264901 1352811 1379892 1803748 2017752 2529802 2705622 2759784 3607496 3794703 4960307 5059604 5411244 7589406 9920614 10119208 10822488 14880921 14896207 15178812 19841228 29761842 29792414 30357624 39682456 44688621 59523684 59584828 89377242 119047368 119169656 163858277 178754484 327716554 357508968 491574831 655433108 878876213 983149662 1310866216 1757752426 1966299324 2636628639 3515504852 3932598648 5273257278 7031009704 9667638343 10546514556 19335276686 21093029112 29002915029 38670553372 58005830058 77341106744 116011660116 232023320232