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2200220230032 = 2432116737206179
BaseRepresentation
bin100000000001000111010…
…110000110000110010000
321210100011010112101021100
4200001013112012012100
5242022022334330112
64402433415224400
7314650336244106
oct40010726060620
97710133471240
102200220230032
11779120a62080
122b6501378100
1312c6313a1876
14786c3cdbc76
153c3759552dc
hex20047586190

2200220230032 has 120 divisors (see below), whose sum is σ = 6718368702240. Its totient is φ = 666631203840.

The previous prime is 2200220229983. The next prime is 2200220230049. The reversal of 2200220230032 is 2300320220022.

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 = 2200220229987 and 2200220230014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10568319 + ... + 10774497.

It is an arithmetic number, because the mean of its divisors is an integer number (55986405852).

Almost surely, 22200220230032 is an apocalyptic number.

2200220230032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2200220230032 is an abundant number, since it is smaller than the sum of its proper divisors (4518148472208).

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

2200220230032 is a wasteful number, since it uses less digits than its factorization.

2200220230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212941 (or 212932 counting only the distinct ones).

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

Adding to 2200220230032 its reverse (2300320220022), we get a palindrome (4500540450054).

The spelling of 2200220230032 in words is "two trillion, two hundred billion, two hundred twenty million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6737 13474 20211 26948 40422 53896 60633 74107 80844 107792 121266 148214 161688 206179 222321 242532 296428 323376 412358 444642 485064 592856 618537 666963 824716 889284 970128 1185712 1237074 1333926 1649432 1778568 1855611 2267969 2474148 2667852 3298864 3557136 3711222 4535938 4948296 5335704 6803907 7422444 9071876 9896592 10671408 13607814 14844888 18143752 20411721 27215628 29689776 36287504 40823442 54431256 81646884 108862512 163293768 326587536 1389027923 2778055846 4167083769 5556111692 8334167538 11112223384 12501251307 15279307153 16668335076 22224446768 25002502614 30558614306 33336670152 45837921459 50005005228 61117228612 66673340304 91675842918 100010010456 122234457224 137513764377 183351685836 200020020912 244468914448 275027528754 366703371672 550055057508 733406743344 1100110115016 2200220230032