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1802034216 = 233431109823
BaseRepresentation
bin110101101101000…
…1101110000101000
311122120211211020000
41223122031300220
512142310043331
6454451503000
762441016033
oct15332156050
94576754200
101802034216
11845223a84
124235b7a60
13229452c48
1413148601a
15a830b0e6
hex6b68dc28

1802034216 has 160 divisors (see below), whose sum is σ = 5264371200. Its totient is φ = 575268480.

The previous prime is 1802034197. The next prime is 1802034217. The reversal of 1802034216 is 6124302081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1802034216.

It is not an unprimeable number, because it can be changed into a prime (1802034217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2189181 + ... + 2190003.

It is an arithmetic number, because the mean of its divisors is an integer number (32902320).

Almost surely, 21802034216 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 1802034216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632185600).

1802034216 is an abundant number, since it is smaller than the sum of its proper divisors (3462336984).

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

1802034216 is a wasteful number, since it uses less digits than its factorization.

1802034216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1802034216 is about 42450.3735672609. The cubic root of 1802034216 is about 1216.8984678084.

Adding to 1802034216 its reverse (6124302081), we get a palindrome (7926336297).

The spelling of 1802034216 in words is "one billion, eight hundred two million, thirty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 109 124 162 186 216 218 248 279 324 327 372 436 558 648 654 744 823 837 872 981 1116 1308 1646 1674 1962 2232 2469 2511 2616 2943 3292 3348 3379 3924 4938 5022 5886 6584 6696 6758 7407 7848 8829 9876 10044 10137 11772 13516 14814 17658 19752 20088 20274 22221 23544 25513 27032 29628 30411 35316 40548 44442 51026 59256 60822 66663 70632 76539 81096 88884 89707 91233 102052 121644 133326 153078 177768 179414 182466 204104 229617 243288 266652 269121 273699 306156 358828 364932 459234 533304 538242 547398 612312 688851 717656 729864 807363 918468 1076484 1094796 1377702 1614726 1836936 2066553 2152968 2189592 2422089 2755404 2780917 3229452 4133106 4844178 5510808 5561834 6458904 7266267 8266212 8342751 9688356 11123668 14532534 16532424 16685502 19376712 22247336 25028253 29065068 33371004 50056506 58130136 66742008 75084759 100113012 150169518 200226024 225254277 300339036 450508554 600678072 901017108 1802034216