Search a number
-
+
1002212200 = 235211412271
BaseRepresentation
bin111011101111001…
…000101101101000
32120211211122200101
4323233020231220
54023031242300
6243240515144
733556443313
oct7357105550
92524748611
101002212200
114747a4950
1223b77bab4
1312c833092
149716597a
155cebbb6a
hex3bbc8b68

1002212200 has 144 divisors (see below), whose sum is σ = 2615100480. Its totient is φ = 354240000.

The previous prime is 1002212177. The next prime is 1002212201. The reversal of 1002212200 is 22122001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3698065 + ... + 3698335.

It is an arithmetic number, because the mean of its divisors is an integer number (18160420).

Almost surely, 21002212200 is an apocalyptic number.

1002212200 is a gapful number since it is divisible by the number (10) 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 1002212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307550240).

1002212200 is an abundant number, since it is smaller than the sum of its proper divisors (1612888280).

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

1002212200 is a wasteful number, since it uses less digits than its factorization.

1002212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1002212200 is about 31657.7352316934. The cubic root of 1002212200 is about 1000.7368569085.

Adding to 1002212200 its reverse (22122001), we get a palindrome (1024334201).

It can be divided in two parts, 10022 and 12200, that added together give a palindrome (22222).

The spelling of 1002212200 in words is "one billion, two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 271 275 328 410 440 451 542 550 820 902 1025 1084 1100 1355 1640 1681 1804 2050 2168 2200 2255 2710 2981 3362 3608 4100 4510 5420 5962 6724 6775 8200 8405 9020 10840 11111 11275 11924 13448 13550 14905 16810 18040 18491 22222 22550 23848 27100 29810 33620 36982 42025 44444 45100 54200 55555 59620 67240 73964 74525 84050 88888 90200 92455 111110 119240 122221 147928 149050 168100 184910 222220 244442 277775 298100 336200 369820 444440 455551 462275 488884 555550 596200 611105 739640 911102 924550 977768 1111100 1222210 1822204 1849100 2222200 2277755 2444420 3055525 3644408 3698200 4555510 4888840 5011061 6111050 9111020 10022122 11388775 12222100 18222040 20044244 22777550 24444200 25055305 40088488 45555100 50110610 91110200 100221220 125276525 200442440 250553050 501106100 1002212200