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1322114420 = 225116009611
BaseRepresentation
bin100111011001101…
…1101110101110100
310102010210101000202
41032303131311310
510201430130140
6335105300032
744522533664
oct11663356564
93363711022
101322114420
11619332150
1230a934618
13180bab933
14c783a1a4
157b10c915
hex4ecddd74

1322114420 has 24 divisors (see below), whose sum is σ = 3028844448. Its totient is φ = 480768800.

The previous prime is 1322114407. The next prime is 1322114447. The reversal of 1322114420 is 244112231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1322114392 and 1322114401.

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 7 ways as a sum of consecutive naturals, for example, 3004586 + ... + 3005025.

It is an arithmetic number, because the mean of its divisors is an integer number (126201852).

Almost surely, 21322114420 is an apocalyptic number.

1322114420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322114420 is an abundant number, since it is smaller than the sum of its proper divisors (1706730028).

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

1322114420 is a wasteful number, since it uses less digits than its factorization.

1322114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009631 (or 6009629 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1322114420 is about 36360.8913532108. The cubic root of 1322114420 is about 1097.5467144220.

Adding to 1322114420 its reverse (244112231), we get a palindrome (1566226651).

It can be divided in two parts, 132211 and 4420, that added together give a palindrome (136631).

The spelling of 1322114420 in words is "one billion, three hundred twenty-two million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 6009611 12019222 24038444 30048055 60096110 66105721 120192220 132211442 264422884 330528605 661057210 1322114420