Search a number
-
+
1022032214 = 271719122483
BaseRepresentation
bin111100111010101…
…111100101010110
32122020010121121222
4330322233211112
54043120012324
6245225410342
734220062520
oct7472574526
92566117558
101022032214
11484a01a25
122463399b2
131339825b8
1499a44a10
155ead455e
hex3ceaf956

1022032214 has 32 divisors (see below), whose sum is σ = 1864912896. Its totient is φ = 410071680.

The previous prime is 1022032201. The next prime is 1022032223. The reversal of 1022032214 is 4122302201.

It is a super-3 number, since 3×10220322143 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 1022032192 and 1022032201.

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 15 ways as a sum of consecutive naturals, for example, 34217 + ... + 56699.

It is an arithmetic number, because the mean of its divisors is an integer number (58278528).

Almost surely, 21022032214 is an apocalyptic number.

1022032214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1022032214 is a deficient number, since it is larger than the sum of its proper divisors (842880682).

1022032214 is a wasteful number, since it uses less digits than its factorization.

1022032214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22700.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1022032214 is about 31969.2385583392. The cubic root of 1022032214 is about 1007.2907865824.

Adding to 1022032214 its reverse (4122302201), we get a palindrome (5144334415).

The spelling of 1022032214 in words is "one billion, twenty-two million, thirty-two thousand, two hundred fourteen".

Divisors: 1 2 7 14 17 34 119 191 238 382 1337 2674 3247 6494 22483 22729 44966 45458 157381 314762 382211 764422 2675477 4294253 5350954 8588506 30059771 60119542 73002301 146004602 511016107 1022032214