Search a number
-
+
1022230400205 = 35729617544097
BaseRepresentation
bin11101110000000011010…
…11100000110011001101
310121201112222211202121210
432320001223200303031
5113222011440301310
62101334533045033
7133565552015310
oct16700153406315
93551488752553
101022230400205
11364586458673
12146146a86779
137551ba89cc1
1437694a40977
151b8cd206820
hexee01ae0ccd

1022230400205 has 64 divisors (see below), whose sum is σ = 1936814768640. Its totient is φ = 450459254784.

The previous prime is 1022230400183. The next prime is 1022230400249. The reversal of 1022230400205 is 5020040322201.

It is not a de Polignac number, because 1022230400205 - 213 = 1022230392013 is a prime.

It is a super-2 number, since 2×10222304002052 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 1606717 + ... + 2150813.

It is an arithmetic number, because the mean of its divisors is an integer number (30262730760).

Almost surely, 21022230400205 is an apocalyptic number.

1022230400205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1022230400205 is a deficient number, since it is larger than the sum of its proper divisors (914584368435).

1022230400205 is a wasteful number, since it uses less digits than its factorization.

1022230400205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544758.

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 1022230400205 its reverse (5020040322201), we get a palindrome (6042270722406).

The spelling of 1022230400205 in words is "one trillion, twenty-two billion, two hundred thirty million, four hundred thousand, two hundred five".

Divisors: 1 3 5 7 15 21 29 35 87 105 145 203 435 609 617 1015 1851 3045 3085 4319 9255 12957 17893 21595 53679 64785 89465 125251 268395 375753 544097 626255 1632291 1878765 2720485 3808679 8161455 11426037 15778813 19043395 47336439 57130185 78894065 110451691 236682195 331355073 335707849 552258455 1007123547 1656775365 1678539245 2349954943 5035617735 7049864829 9735527621 11749774715 29206582863 35249324145 48677638105 68148693347 146032914315 204446080041 340743466735 1022230400205