Search a number
-
+
2122554330 = 2325135573257
BaseRepresentation
bin111111010000011…
…1001101111011010
312110220221221011100
41332200321233122
513321333214310
6550341412230
7103412262021
oct17640715732
95426857140
102122554330
1199a143536
124b2a0a076
1327a986b10
14161c7b8b8
15c651eec0
hex7e839bda

2122554330 has 96 divisors (see below), whose sum is σ = 5955650064. Its totient is φ = 521376768.

The previous prime is 2122554311. The next prime is 2122554331. The reversal of 2122554330 is 334552212.

It is a happy number.

2122554330 is a `hidden beast` number, since 2 + 1 + 225 + 5 + 433 + 0 = 666.

2122554330 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 444914649 + 1677639681 = 21093^2 + 40959^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2122554294 and 2122554303.

It is not an unprimeable number, because it can be changed into a prime (2122554331) 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, 650062 + ... + 653318.

Almost surely, 22122554330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122554330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977825032).

2122554330 is an abundant number, since it is smaller than the sum of its proper divisors (3833095734).

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

2122554330 is a wasteful number, since it uses less digits than its factorization.

2122554330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2122554330 is about 46071.1876339215. The cubic root of 2122554330 is about 1285.1473898170.

The spelling of 2122554330 in words is "two billion, one hundred twenty-two million, five hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 557 585 1114 1170 1671 2785 3257 3342 5013 5570 6514 7241 8355 9771 10026 14482 16285 16710 19542 21723 25065 29313 32570 36205 42341 43446 48855 50130 58626 65169 72410 84682 97710 108615 127023 130338 146565 211705 217230 254046 293130 325845 381069 423410 635115 651690 762138 1270230 1814149 1905345 3628298 3810690 5442447 9070745 10884894 16327341 18141490 23583937 27212235 32654682 47167874 54424470 70751811 81636705 117919685 141503622 163273410 212255433 235839370 353759055 424510866 707518110 1061277165 2122554330