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402223212020 = 225722318799497
BaseRepresentation
bin1011101101001100101…
…11110010010111110100
31102110012121221020112202
411312212113302113310
523042223120241040
6504440115204032
741026315614500
oct5664627622764
91373177836482
10402223212020
11145644576503
1265b538a6618
132bc11109106
1415679563300
15a6e1b9d015
hex5da65f25f4

402223212020 has 144 divisors (see below), whose sum is σ = 1025948125440. Its totient is φ = 131825143296.

The previous prime is 402223212019. The next prime is 402223212023. The reversal of 402223212020 is 20212322204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 402223211983 and 402223212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402223212023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42347912 + ... + 42357408.

It is an arithmetic number, because the mean of its divisors is an integer number (7124639760).

Almost surely, 2402223212020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402223212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512974062720).

402223212020 is an abundant number, since it is smaller than the sum of its proper divisors (623724913420).

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

402223212020 is a wasteful number, since it uses less digits than its factorization.

402223212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 402223212020 its reverse (20212322204), we get a palindrome (422435534224).

The spelling of 402223212020 in words is "four hundred two billion, two hundred twenty-three million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 1879 2254 3220 3758 4508 5635 7516 9395 9497 11270 13153 18790 18994 22540 26306 37580 37988 43217 47485 52612 65765 66479 86434 92071 94970 131530 132958 172868 184142 189940 216085 218431 263060 265916 302519 332395 368284 432170 436862 460355 465353 605038 664790 864340 873724 920710 930706 1092155 1210076 1329580 1512595 1529017 1841420 1861412 2117633 2184310 2326765 3025190 3058034 4235266 4368620 4653530 6050380 6116068 7645085 8470532 9307060 10588165 10703119 15290170 17844863 21176330 21406238 30580340 35689726 42352660 42812476 53515595 71379452 89224315 107031190 124914041 178448630 214062380 249828082 356897260 410431849 499656164 624570205 820863698 874398287 1249140410 1641727396 1748796574 2052159245 2498280820 2873022943 3497593148 4104318490 4371991435 5746045886 8208636980 8743982870 11492091772 14365114715 17487965740 20111160601 28730229430 40222321202 57460458860 80444642404 100555803005 201111606010 402223212020