Search a number
-
+
200102220 = 2232543103251
BaseRepresentation
bin10111110110101…
…01000101001100
3111221112020122100
423323111011030
5402211232340
631504515100
74646561253
oct1373250514
9457466570
10200102220
11a2a5283a
125701ba90
13325c19a6
141c80b79a
1512879830
hexbed514c

200102220 has 144 divisors (see below), whose sum is σ = 629620992. Its totient is φ = 51408000.

The previous prime is 200102209. The next prime is 200102237. The reversal of 200102220 is 22201002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 797095 + ... + 797345.

It is an arithmetic number, because the mean of its divisors is an integer number (4372368).

Almost surely, 2200102220 is an apocalyptic number.

200102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314810496).

200102220 is an abundant number, since it is smaller than the sum of its proper divisors (429518772).

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

200102220 is a wasteful number, since it uses less digits than its factorization.

200102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200102220 is about 14145.7491848258. The cubic root of 200102220 is about 584.9031617047.

Adding to 200102220 its reverse (22201002), we get a palindrome (222303222).

The spelling of 200102220 in words is "two hundred million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 103 129 172 180 206 215 251 258 309 387 412 430 502 515 516 618 645 753 774 860 927 1004 1030 1236 1255 1290 1506 1545 1548 1854 1935 2060 2259 2510 2580 3012 3090 3708 3765 3870 4429 4518 4635 5020 6180 7530 7740 8858 9036 9270 10793 11295 13287 15060 17716 18540 21586 22145 22590 25853 26574 32379 39861 43172 44290 45180 51706 53148 53965 64758 66435 77559 79722 88580 97137 103412 107930 129265 129516 132870 155118 159444 161895 194274 199305 215860 232677 258530 265740 310236 323790 387795 388548 398610 465354 485685 517060 647580 775590 797220 930708 971370 1111679 1163385 1551180 1942740 2223358 2326770 3335037 4446716 4653540 5558395 6670074 10005111 11116790 13340148 16675185 20010222 22233580 33350370 40020444 50025555 66700740 100051110 200102220