Search a number
-
+
222132003000 = 23353105170451
BaseRepresentation
bin1100111011100000011…
…0010110000010111000
3210020100202112221001020
43032320012112002320
512114411243044000
6250013535422440
722022431605045
oct3167006260270
9706322487036
10222132003000
11862297a7676
1237073684a20
1317c4060b53b
14aa735c41cc
155ba1479ba0
hex33b81960b8

222132003000 has 128 divisors (see below), whose sum is σ = 693721117440. Its totient is φ = 59178000000.

The previous prime is 222132002993. The next prime is 222132003029. The reversal of 222132003000 is 300231222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3117775 + ... + 3188225.

It is an arithmetic number, because the mean of its divisors is an integer number (5419696230).

Almost surely, 2222132003000 is an apocalyptic number.

222132003000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222132003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346860558720).

222132003000 is an abundant number, since it is smaller than the sum of its proper divisors (471589114440).

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

222132003000 is a wasteful number, since it uses less digits than its factorization.

222132003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71526 (or 71512 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 222132003000 its reverse (300231222), we get a palindrome (222432234222).

The spelling of 222132003000 in words is "two hundred twenty-two billion, one hundred thirty-two million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1051 1500 2102 3000 3153 4204 5255 6306 8408 10510 12612 15765 21020 25224 26275 31530 42040 52550 63060 70451 78825 105100 126120 131375 140902 157650 210200 211353 262750 281804 315300 352255 394125 422706 525500 563608 630600 704510 788250 845412 1051000 1056765 1409020 1576500 1690824 1761275 2113530 2818040 3153000 3522550 4227060 5283825 7045100 8454120 8806375 10567650 14090200 17612750 21135300 26419125 35225500 42270600 52838250 70451000 74044001 105676500 148088002 211353000 222132003 296176004 370220005 444264006 592352008 740440010 888528012 1110660015 1480880020 1777056024 1851100025 2221320030 2961760040 3702200050 4442640060 5553300075 7404400100 8885280120 9255500125 11106600150 14808800200 18511000250 22213200300 27766500375 37022000500 44426400600 55533000750 74044001000 111066001500 222132003000