Search a number
-
+
22152534045012 = 22327471979494209
BaseRepresentation
bin1010000100101110010011…
…11011000011000101010100
32220102202120012000200202100
411002113021323003011110
510400421342203420022
6115040422245042100
74444316305353360
oct502271173030524
986382505020670
1022152534045012
117070922a53548
1225993869b6330
13c48c8a0b6b77
1456828cc522a0
152863891461ac
hex1425c9ec3154

22152534045012 has 144 divisors (see below), whose sum is σ = 65689603499520. Its totient is φ = 6163184111616.

The previous prime is 22152534044981. The next prime is 22152534045017. The reversal of 22152534045012 is 21054043525122.

22152534045012 is a `hidden beast` number, since 2 + 2 + 152 + 5 + 3 + 40 + 450 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22152534045017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2413837 + ... + 7080372.

It is an arithmetic number, because the mean of its divisors is an integer number (456177802080).

Almost surely, 222152534045012 is an apocalyptic number.

It is an amenable number.

22152534045012 is an abundant number, since it is smaller than the sum of its proper divisors (43537069454508).

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

22152534045012 is a wasteful number, since it uses less digits than its factorization.

22152534045012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494470 (or 9494465 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 22152534045012 in words is "twenty-two trillion, one hundred fifty-two billion, five hundred thirty-four million, forty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 197 252 282 329 394 423 564 591 658 788 846 987 1182 1316 1379 1692 1773 1974 2364 2758 2961 3546 3948 4137 5516 5922 7092 8274 9259 11844 12411 16548 18518 24822 27777 37036 49644 55554 64813 83331 111108 129626 166662 194439 259252 333324 388878 583317 777756 1166634 2333268 9494209 18988418 28482627 37976836 56965254 66459463 85447881 113930508 132918926 170895762 199378389 265837852 341791524 398756778 446227823 598135167 797513556 892455646 1196270334 1338683469 1784911292 1870359173 2392540668 2677366938 3123594761 3740718346 4016050407 5354733876 5611077519 6247189522 7481436692 8032100814 9370784283 11222155038 12494379044 13092514211 16064201628 16833232557 18741568566 22444310076 26185028422 28112352849 33666465114 37483137132 39277542633 52370056844 56224705698 67332930228 78555085266 87906881131 112449411396 117832627899 157110170532 175813762262 235665255798 263720643393 351627524524 471330511596 527441286786 615348167917 791161930179 1054882573572 1230696335834 1582323860358 1846044503751 2461392671668 3164647720716 3692089007502 5538133511253 7384178015004 11076267022506 22152534045012