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232205003324420 = 22573792814829999
BaseRepresentation
bin110100110011000001110000…
…101111001111110000000100
31010110011120200221002120022212
4310303001300233033300010
5220413421321322340140
62141505301134242552
766624154310020550
oct6463016057176004
91113146627076285
10232205003324420
1167a95652894045
1222062a75956458
139c74ab7a05449
14414aad422a860
151bca2b967b765
hexd33070bcfc04

232205003324420 has 96 divisors (see below), whose sum is σ = 572415742080000. Its totient is φ = 77453075128320.

The previous prime is 232205003324419. The next prime is 232205003324423. The reversal of 232205003324420 is 24423300502232.

It is not an unprimeable number, because it can be changed into a prime (232205003324423) 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, 45660581 + ... + 50490579.

It is an arithmetic number, because the mean of its divisors is an integer number (5962663980000).

Almost surely, 2232205003324420 is an apocalyptic number.

232205003324420 is a gapful number since it is divisible by the number (20) 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 232205003324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286207871040000).

232205003324420 is an abundant number, since it is smaller than the sum of its proper divisors (340210738755580).

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

232205003324420 is a wasteful number, since it uses less digits than its factorization.

232205003324420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839333 (or 4839331 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 232205003324420 its reverse (24423300502232), we get a palindrome (256628303826652).

The spelling of 232205003324420 in words is "two hundred thirty-two trillion, two hundred five billion, three million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 9281 18562 37124 46405 64967 92810 129934 185620 259868 324835 343397 649670 686794 1299340 1373588 1716985 2403779 3433970 4807558 4829999 6867940 9615116 9659998 12018895 19319996 24037790 24149995 33809993 48075580 48299990 67619986 96599980 135239972 169049965 178709963 338099930 357419926 676199860 714839852 893549815 1250969741 1787099630 2501939482 3574199260 5003878964 6254848705 12509697410 25019394820 44827220719 89654441438 179308882876 224136103595 313790545033 448272207190 627581090066 896544414380 1255162180132 1568952725165 1658607166603 3137905450330 3317214333206 6275810900660 6634428666412 8293035833015 11610250166221 16586071666030 23220500332442 33172143332060 46441000664884 58051250831105 116102501662210 232205003324420