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3022131140 = 2257173734319
BaseRepresentation
bin1011010000100010…
…0000111111000100
321210121200011112222
42310020200333010
522142131144030
61215514431512
7134614455650
oct26410407704
97717604488
103022131140
111310a06946
12704132598
133921629a2
14209527a60
1512a4b63e5
hexb4220fc4

3022131140 has 96 divisors (see below), whose sum is σ = 7887559680. Its totient is φ = 948824064.

The previous prime is 3022131109. The next prime is 3022131149. The reversal of 3022131140 is 411312203.

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

It is not an unprimeable number, because it can be changed into a prime (3022131149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70901 + ... + 105219.

It is an arithmetic number, because the mean of its divisors is an integer number (82162080).

Almost surely, 23022131140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943779840).

3022131140 is an abundant number, since it is smaller than the sum of its proper divisors (4865428540).

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

3022131140 is a wasteful number, since it uses less digits than its factorization.

3022131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34389 (or 34387 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3022131140 is about 54973.9132680220. The cubic root of 3022131140 is about 1445.7873990691.

Adding to 3022131140 its reverse (411312203), we get a palindrome (3433443343).

The spelling of 3022131140 in words is "three billion, twenty-two million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 37 68 70 74 85 119 140 148 170 185 238 259 340 370 476 518 595 629 740 1036 1190 1258 1295 2380 2516 2590 3145 4403 5180 6290 8806 12580 17612 22015 34319 44030 68638 88060 137276 171595 240233 343190 480466 583423 686380 960932 1166846 1201165 1269803 2333692 2402330 2539606 2917115 4083961 4804660 5079212 5834230 6349015 8167922 8888621 11668460 12698030 16335844 17777242 20419805 21586651 25396060 35554484 40839610 43173302 44443105 81679220 86346604 88886210 107933255 151106557 177772420 215866510 302213114 431733020 604426228 755532785 1511065570 3022131140