Search a number
-
+
22060081152 = 213325472
BaseRepresentation
bin10100100010111000…
…100010000000000000
32002221101221020022200
4110202320202000000
5330134340044102
614045000033200
71410445411254
oct244270420000
962841836280
1022060081152
1193a038252a
124337a62800
132107429b75
1410d3b40264
15891a4a51c
hex522e22000

22060081152 has 126 divisors (see below), whose sum is σ = 63841946103. Its totient is φ = 7339917312.

The previous prime is 22060081129. The next prime is 22060081177. The reversal of 22060081152 is 25118006022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22060081152 is a `hidden beast` number, since 2 + 2 + 0 + 600 + 8 + 1 + 1 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11030040576 + 11030040576 = 105024^2 + 105024^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105024.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40328943 + ... + 40329489.

Almost surely, 222060081152 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 22060081152

22060081152 is an abundant number, since it is smaller than the sum of its proper divisors (41781864951).

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

22060081152 is an frugal number, since it uses more digits than its factorization.

22060081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 22060081152 its reverse (25118006022), we get a palindrome (47178087174).

The spelling of 22060081152 in words is "twenty-two billion, sixty million, eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 547 576 768 1024 1094 1152 1536 1641 2048 2188 2304 3072 3282 4096 4376 4608 4923 6144 6564 8192 8752 9216 9846 12288 13128 17504 18432 19692 24576 26256 35008 36864 39384 52512 70016 73728 78768 105024 140032 157536 210048 280064 299209 315072 420096 560128 598418 630144 840192 897627 1120256 1196836 1260288 1680384 1795254 2240512 2393672 2520576 2692881 3360768 3590508 4481024 4787344 5041152 5385762 6721536 7181016 9574688 10082304 10771524 13443072 14362032 19149376 20164608 21543048 28724064 38298752 40329216 43086096 57448128 76597504 86172192 114896256 153195008 172344384 229792512 306390016 344688768 459585024 612780032 689377536 919170048 1225560064 1378755072 1838340096 2451120128 2757510144 3676680192 5515020288 7353360384 11030040576 22060081152