Search a number
-
+
402212320002 = 232231676918419
BaseRepresentation
bin1011101101001011011…
…10001111001100000010
31102110011212102212111200
411312211232033030002
523042212323220002
6504435045522030
741026124211363
oct5664556171402
91373155385450
10402212320002
11145639407139
1265b50113316
132bc0ba9452c
1415677d29b6a
15a6e0c4ab1c
hex5da5b8f302

402212320002 has 96 divisors (see below), whose sum is σ = 916227486720. Its totient is φ = 127274099040.

The previous prime is 402212319997. The next prime is 402212320031. The reversal of 402212320002 is 200023212204.

402212320002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4022123200022 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47770149 + ... + 47778567.

It is an arithmetic number, because the mean of its divisors is an integer number (9544036320).

Almost surely, 2402212320002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402212320002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458113743360).

402212320002 is an abundant number, since it is smaller than the sum of its proper divisors (514015166718).

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

402212320002 is a wasteful number, since it uses less digits than its factorization.

402212320002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9308 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 402212320002 its reverse (200023212204), we get a palindrome (602235532206).

The spelling of 402212320002 in words is "four hundred two billion, two hundred twelve million, three hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 138 167 207 334 414 501 691 1002 1382 1503 2073 3006 3841 4146 6219 7682 8419 11523 12438 15893 16838 23046 25257 31786 34569 47679 50514 69138 75771 95358 115397 143037 151542 193637 230794 286074 346191 387274 580911 692382 1038573 1161822 1405973 1742733 2077146 2654131 2811946 3485466 4217919 5308262 5817529 7962393 8435838 11635058 12653757 15924786 17452587 23887179 25307514 32337379 34905174 47774358 52357761 64674758 97012137 104715522 133803167 194024274 267606334 291036411 401409501 582072822 802819002 971527343 1204228503 1943054686 2408457006 2914582029 5829164058 8743746087 17487492174 22345128889 44690257778 67035386667 134070773334 201106160001 402212320002