Search a number
-
+
1022222100 = 2235233710111
BaseRepresentation
bin111100111011011…
…101111100010100
32122020111021002210
4330323131330110
54043142101400
6245233433420
734221513234
oct7473357424
92566437083
101022222100
11485021659
1224640b870
13133a1ab63
1499a93cc4
155eb20950
hex3ceddf14

1022222100 has 72 divisors (see below), whose sum is σ = 2966699008. Its totient is φ = 271756800.

The previous prime is 1022222093. The next prime is 1022222147. The reversal of 1022222100 is 12222201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96045 + ... + 106155.

Almost surely, 21022222100 is an apocalyptic number.

1022222100 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 1022222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483349504).

1022222100 is an abundant number, since it is smaller than the sum of its proper divisors (1944476908).

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

1022222100 is a wasteful number, since it uses less digits than its factorization.

1022222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1022222100 is about 31972.2082440359. The cubic root of 1022222100 is about 1007.3531651034.

Adding to 1022222100 its reverse (12222201), we get a palindrome (1034444301).

The spelling of 1022222100 in words is "one billion, twenty-two million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 2022 3370 4044 5055 6740 8425 10110 10111 16850 20220 20222 25275 30333 33700 40444 50550 50555 60666 101100 101110 121332 151665 202220 252775 303330 505550 606660 758325 1011100 1516650 3033300 3407407 6814814 10222221 13629628 17037035 20444442 34074070 40888884 51111105 68148140 85185175 102222210 170370350 204444420 255555525 340740700 511111050 1022222100