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202332420 = 223252983467
BaseRepresentation
bin11000000111101…
…01100100000100
3112002201112220100
430003311210010
5403244114140
632024404100
75004540303
oct1403654404
9462645810
10202332420
11a4236384
1257916630
1332bc2b34
141cc2c43a
1512b6a530
hexc0f5904

202332420 has 144 divisors (see below), whose sum is σ = 643930560. Its totient is φ = 51356928.

The previous prime is 202332407. The next prime is 202332433. The reversal of 202332420 is 24233202.

202332420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202332407) and next prime (202332433).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202332393 and 202332402.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 433027 + ... + 433493.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2202332420 is an apocalyptic number.

202332420 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 202332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321965280).

202332420 is an abundant number, since it is smaller than the sum of its proper divisors (441598140).

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

202332420 is a wasteful number, since it uses less digits than its factorization.

202332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 202332420 is about 14224.3600910551. The cubic root of 202332420 is about 587.0681129467.

Adding to 202332420 its reverse (24233202), we get a palindrome (226565622).

It can be divided in two parts, 2023 and 32420, that added together give a palindrome (34443).

The spelling of 202332420 in words is "two hundred two million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 83 87 90 116 145 166 174 180 249 261 290 332 348 415 435 467 498 522 580 747 830 870 934 996 1044 1245 1305 1401 1494 1660 1740 1868 2335 2407 2490 2610 2802 2988 3735 4203 4670 4814 4980 5220 5604 7005 7221 7470 8406 9340 9628 12035 13543 14010 14442 14940 16812 21015 21663 24070 27086 28020 28884 36105 38761 40629 42030 43326 48140 54172 67715 72210 77522 81258 84060 86652 108315 116283 121887 135430 144420 155044 162516 193805 203145 216630 232566 243774 270860 348849 387610 406290 433260 465132 487548 581415 609435 697698 775220 812580 1124069 1162830 1218870 1395396 1744245 2248138 2325660 2437740 3372207 3488490 4496276 5620345 6744414 6976980 10116621 11240690 13488828 16861035 20233242 22481380 33722070 40466484 50583105 67444140 101166210 202332420