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3002230320222 = 2373137444114033
BaseRepresentation
bin101011101100000010110…
…111110010110001011110
3101122000021121000021121210
4223230002313302301132
5343142031430221342
610215112223005250
7426622031444310
oct53540267626136
911560247007553
103002230320222
11a58269825331
12405a28a39826
1318a155919203
14a54471c77b0
155316544e79c
hex2bb02df2c5e

3002230320222 has 128 divisors (see below), whose sum is σ = 7277208772608. Its totient is φ = 807434956800.

The previous prime is 3002230320217. The next prime is 3002230320233. The reversal of 3002230320222 is 2220230322003.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 213933718 + ... + 213947750.

It is an arithmetic number, because the mean of its divisors is an integer number (56853193536).

Almost surely, 23002230320222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002230320222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638604386304).

3002230320222 is an abundant number, since it is smaller than the sum of its proper divisors (4274978452386).

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

3002230320222 is a wasteful number, since it uses less digits than its factorization.

3002230320222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18554.

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 3002230320222 its reverse (2220230322003), we get a palindrome (5222460642225).

The spelling of 3002230320222 in words is "three trillion, two billion, two hundred thirty million, three hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 74 93 111 186 217 222 259 434 518 651 777 1147 1302 1554 2294 3441 4441 6882 8029 8882 13323 14033 16058 24087 26646 28066 31087 42099 48174 62174 84198 93261 98231 137671 164317 186522 196462 275342 294693 328634 413013 435023 492951 519221 589386 826026 870046 963697 985902 1038442 1150219 1305069 1557663 1927394 2300438 2610138 2891091 3045161 3115326 3450657 3634547 5093827 5782182 6090322 6901314 7269094 9135483 10187654 10903641 15281481 16095851 18270966 21807282 30562962 32191702 35656789 48287553 62320553 71313578 96575106 106970367 112670957 124641106 186961659 213940734 225341914 338012871 373923318 436243871 676025742 872487742 1308731613 1931937143 2305860461 2617463226 3863874286 4611720922 5795811429 6917581383 11591622858 13523560001 13835162766 16141023227 27047120002 32282046454 40570680003 48423069681 71481674291 81141360006 96846139362 142963348582 214445022873 428890045746 500371720037 1000743440074 1501115160111 3002230320222