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2122024401 = 3271131731723
BaseRepresentation
bin111111001111011…
…1000010111010001
312110212222000020100
41332132320113101
513321214240101
6550322203013
7103404624030
oct17636702721
95425860210
102122024401
11999911382
124b27b3469
1327a82c853
14161b80717
15c6467e86
hex7e7b85d1

2122024401 has 48 divisors (see below), whose sum is σ = 3556515456. Its totient is φ = 1194213888.

The previous prime is 2122024393. The next prime is 2122024409. The reversal of 2122024401 is 1044202212.

2122024401 is a `hidden beast` number, since 2 + 1 + 220 + 2 + 440 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2122024393) and next prime (2122024409).

It is not a de Polignac number, because 2122024401 - 23 = 2122024393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122024409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1230726 + ... + 1232448.

It is an arithmetic number, because the mean of its divisors is an integer number (74094072).

Almost surely, 22122024401 is an apocalyptic number.

2122024401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122024401 is a deficient number, since it is larger than the sum of its proper divisors (1434491055).

2122024401 is a wasteful number, since it uses less digits than its factorization.

2122024401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2122024401 is about 46065.4360773889. The cubic root of 2122024401 is about 1285.0404285100.

Adding to 2122024401 its reverse (1044202212), we get a palindrome (3166226613).

The spelling of 2122024401 in words is "two billion, one hundred twenty-two million, twenty-four thousand, four hundred one".

Divisors: 1 3 7 9 21 63 113 173 339 519 791 1017 1211 1557 1723 2373 3633 5169 7119 10899 12061 15507 19549 36183 58647 108549 136843 175941 194699 298079 410529 584097 894237 1231587 1362893 1752291 2086553 2682711 4088679 6259659 12266037 18778977 33682927 101048781 235780489 303146343 707341467 2122024401