Search a number
-
+
222120200122000 = 2453248214474441
BaseRepresentation
bin110010100000010001100011…
…101000000010111010010000
31002010110111001122200021110121
4302200101203220002322100
5213103204132212401000
62104224340010240024
764533440424123115
oct6240214350027220
91063414048607417
10222120200122000
1164857714341974
1220ab4471726014
1396c2aca5bc00b
143cbc96448c90c
151aa2cc9738b1a
hexca0463a02e90

222120200122000 has 80 divisors (see below), whose sum is σ = 537108402330864. Its totient is φ = 88844480640000.

The previous prime is 222120200121929. The next prime is 222120200122027. The reversal of 222120200122000 is 221002021222.

It can be written as a sum of positive squares in 8 ways, for example, as 61798716998656 + 160321483123344 = 7861216^2 + 12661812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47404780 + ... + 51879220.

Almost surely, 2222120200122000 is an apocalyptic number.

222120200122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222120200122000 is an abundant number, since it is smaller than the sum of its proper divisors (314988202208864).

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

222120200122000 is a wasteful number, since it uses less digits than its factorization.

222120200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499285 (or 4499269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222120200122000 its reverse (221002021222), we get a palindrome (222341202143222).

The spelling of 222120200122000 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 24821 49642 99284 124105 198568 248210 397136 496420 620525 992840 1241050 1985680 2482100 3102625 4474441 4964200 6205250 8948882 9928400 12410500 17897764 22372205 24821000 35795528 44744410 49642000 71591056 89488820 111861025 178977640 223722050 357955280 447444100 559305125 894888200 1118610250 1789776400 2237220500 4474441000 8948882000 111060100061 222120200122 444240400244 555300500305 888480800488 1110601000610 1776961600976 2221202001220 2776502501525 4442404002440 5553005003050 8884808004880 11106010006100 13882512507625 22212020012200 27765025015250 44424040024400 55530050030500 111060100061000 222120200122000