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202320002240 = 2657327731267
BaseRepresentation
bin1011110001101100110…
…1100011110011000000
3201100020000210000021022
42330123031203303000
511303322410032430
6232540003445012
720421451433636
oct2743315436300
9640200700238
10202320002240
1178892404224
1233264686768
1316103b78775
149b14279356
1553e1e974e5
hex2f1b363cc0

202320002240 has 112 divisors (see below), whose sum is σ = 490152915552. Its totient is φ = 79528697856.

The previous prime is 202320002219. The next prime is 202320002257. The reversal of 202320002240 is 42200023202.

202320002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6455087 + ... + 6486353.

Almost surely, 2202320002240 is an apocalyptic number.

202320002240 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 202320002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245076457776).

202320002240 is an abundant number, since it is smaller than the sum of its proper divisors (287832913312).

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

202320002240 is a wasteful number, since it uses less digits than its factorization.

202320002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31634 (or 31624 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 202320002240 its reverse (42200023202), we get a palindrome (244520025442).

The spelling of 202320002240 in words is "two hundred two billion, three hundred twenty million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 277 292 320 365 554 584 730 1108 1168 1385 1460 2216 2336 2770 2920 4432 4672 5540 5840 8864 11080 11680 17728 20221 22160 23360 31267 40442 44320 62534 80884 88640 101105 125068 156335 161768 202210 250136 312670 323536 404420 500272 625340 647072 808840 1000544 1250680 1294144 1617680 2001088 2282491 2501360 3235360 4564982 5002720 6470720 8660959 9129964 10005440 11412455 17321918 18259928 22824910 34643836 36519856 43304795 45649820 69287672 73039712 86609590 91299640 138575344 146079424 173219180 182599280 277150688 346438360 365198560 554301376 632250007 692876720 730397120 1264500014 1385753440 2529000028 2771506880 3161250035 5058000056 6322500070 10116000112 12645000140 20232000224 25290000280 40464000448 50580000560 101160001120 202320002240