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2030312322 = 232378934253
BaseRepresentation
bin111100100000100…
…0001101110000010
312020111101112220200
41321001001232002
513124224443242
6533244350030
7101212240623
oct17101015602
95214345820
102030312322
11952070775
12487b45316
1326482b54c
14153909a4a
15bd39e04c
hex79041b82

2030312322 has 48 divisors (see below), whose sum is σ = 4568798520. Its totient is φ = 651062016.

The previous prime is 2030312311. The next prime is 2030312369. The reversal of 2030312322 is 2232130302.

It is a happy number.

2030312322 is a `hidden beast` number, since 2 + 0 + 30 + 312 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1569823641 + 460488681 = 39621^2 + 21459^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2030312295 and 2030312304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42148 + ... + 76400.

Almost surely, 22030312322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030312322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284399260).

2030312322 is an abundant number, since it is smaller than the sum of its proper divisors (2538486198).

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

2030312322 is a wasteful number, since it uses less digits than its factorization.

2030312322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34387 (or 34384 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2030312322 is about 45058.9871390825. The cubic root of 2030312322 is about 1266.2543494408.

Adding to 2030312322 its reverse (2232130302), we get a palindrome (4262442624).

The spelling of 2030312322 in words is "two billion, thirty million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 89 111 178 222 267 333 534 666 801 1602 3293 6586 9879 19758 29637 34253 59274 68506 102759 205518 308277 616554 1267361 2534722 3048517 3802083 6097034 7604166 9145551 11406249 18291102 22812498 27436653 54873306 112795129 225590258 338385387 676770774 1015156161 2030312322