Search a number
-
+
2022000879048 = 2333113735356197
BaseRepresentation
bin11101011011001000101…
…001001110010111001000
321011022010201101022021020
4131123020221032113020
5231112024211112143
64144521104112440
7266041031614413
oct35331051162710
97138121338236
102022000879048
1170a586867957
12287a64005720
1311889b6334b7
146dc187bcb7a
15378e4731883
hex1d6c8a4e5c8

2022000879048 has 128 divisors (see below), whose sum is σ = 5271138616320. Its totient is φ = 645651578880.

The previous prime is 2022000879037. The next prime is 2022000879049. The reversal of 2022000879048 is 8409780002202.

It is not an unprimeable number, because it can be changed into a prime (2022000879049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35952486 + ... + 36008682.

It is an arithmetic number, because the mean of its divisors is an integer number (41180770440).

Almost surely, 22022000879048 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 2022000879048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635569308160).

2022000879048 is an abundant number, since it is smaller than the sum of its proper divisors (3249137737272).

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

2022000879048 is a wasteful number, since it uses less digits than its factorization.

2022000879048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56727 (or 56723 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 2022000879048 in words is "two trillion, twenty-two billion, eight hundred seventy-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 137 186 248 274 353 372 411 548 706 744 822 1059 1096 1412 1644 2118 2824 3288 4236 4247 8472 8494 10943 12741 16988 21886 25482 32829 33976 43772 48361 50964 56197 65658 87544 96722 101928 112394 131316 145083 168591 193444 224788 262632 290166 337182 386888 449576 580332 674364 1160664 1348728 1499191 1742107 2998382 3484214 4497573 5226321 5996764 6968428 7698989 8995146 10452642 11993528 13936856 15397978 17990292 19837541 20905284 23096967 30795956 35980584 39675082 41810568 46193934 59512623 61591912 79350164 92387868 119025246 158700328 184775736 238050492 238668659 476100984 477337318 614963771 716005977 954674636 1229927542 1432011954 1844891313 1909349272 2459855084 2717743117 2864023908 3689782626 4919710168 5435486234 5728047816 7379565252 8153229351 10870972468 14759130504 16306458702 21741944936 32612917404 65225834808 84250036627 168500073254 252750109881 337000146508 505500219762 674000293016 1011000439524 2022000879048