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21146202 = 23271121973
BaseRepresentation
bin101000010101…
…0101001011010
31110210100010200
41100222221122
520403134302
62033123030
7344511510
oct120525132
943710120
1021146202
1110a33500
1270b9476
1344c505c
142b464b0
151cca81c
hex142aa5a

21146202 has 144 divisors (see below), whose sum is σ = 61414080. Its totient is φ = 5132160.

The previous prime is 21146197. The next prime is 21146207. The reversal of 21146202 is 20264112.

It is an interprime number because it is at equal distance from previous prime (21146197) and next prime (21146207).

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (21146207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289638 + ... + 289710.

Almost surely, 221146202 is an apocalyptic number.

21146202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 4598×4599.

It is a practical number, because each smaller number is the sum of distinct divisors of 21146202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30707040).

21146202 is an abundant number, since it is smaller than the sum of its proper divisors (40267878).

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

21146202 is a wasteful number, since it uses less digits than its factorization.

21146202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21146202 is about 4598.4999728172. The cubic root of 21146202 is about 276.5311918787.

The spelling of 21146202 in words is "twenty-one million, one hundred forty-six thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 73 77 99 114 121 126 133 146 154 171 198 209 219 231 242 266 342 363 399 418 438 462 511 627 657 693 726 798 803 847 1022 1089 1197 1254 1314 1386 1387 1463 1533 1606 1694 1881 2178 2299 2394 2409 2541 2774 2926 3066 3762 4161 4389 4598 4599 4818 5082 5621 6897 7227 7623 8322 8778 8833 9198 9709 11242 12483 13167 13794 14454 15246 15257 16093 16863 17666 19418 20691 24966 26334 26499 29127 30514 32186 33726 41382 45771 48279 50589 52998 58254 61831 79497 87381 91542 96558 101178 106799 123662 137313 144837 158994 167827 174762 185493 213598 274626 289674 320397 335654 370986 503481 556479 640794 961191 1006962 1112958 1174789 1510443 1922382 2349578 3020886 3524367 7048734 10573101 21146202