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2151222000 = 243531792003
BaseRepresentation
bin1000000000111001…
…0000101011110000
312112220220101210220
42000032100223300
513401203101000
6553244053040
7104211041154
oct20016205360
95486811726
102151222000
11a04343a24
12500534180
132838b3535
141659c1064
15c8cd41a0
hex80390af0

2151222000 has 160 divisors (see below), whose sum is σ = 6977767680. Its totient is φ = 570169600.

The previous prime is 2151221959. The next prime is 2151222013. The reversal of 2151222000 is 2221512.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072999 + ... + 1075001.

It is an arithmetic number, because the mean of its divisors is an integer number (43611048).

Almost surely, 22151222000 is an apocalyptic number.

2151222000 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 2151222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488883840).

2151222000 is an abundant number, since it is smaller than the sum of its proper divisors (4826545680).

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

2151222000 is a wasteful number, since it uses less digits than its factorization.

2151222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2151222000 is about 46381.2677705127. The cubic root of 2151222000 is about 1290.9073599491.

Adding to 2151222000 its reverse (2221512), we get a palindrome (2153443512).

The spelling of 2151222000 in words is "two billion, one hundred fifty-one million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 179 200 240 250 300 358 375 400 500 537 600 716 750 895 1000 1074 1200 1432 1500 1790 2000 2003 2148 2685 2864 3000 3580 4006 4296 4475 5370 6000 6009 7160 8012 8592 8950 10015 10740 12018 13425 14320 16024 17900 20030 21480 22375 24036 26850 30045 32048 35800 40060 42960 44750 48072 50075 53700 60090 67125 71600 80120 89500 96144 100150 107400 120180 134250 150225 160240 179000 200300 214800 240360 250375 268500 300450 358000 358537 400600 480720 500750 537000 600900 717074 751125 801200 1001500 1074000 1075611 1201800 1434148 1502250 1792685 2003000 2151222 2403600 2868296 3004500 3585370 4006000 4302444 5378055 5736592 6009000 7170740 8604888 8963425 10756110 12018000 14341480 17209776 17926850 21512220 26890275 28682960 35853700 43024440 44817125 53780550 71707400 86048880 89634250 107561100 134451375 143414800 179268500 215122200 268902750 358537000 430244400 537805500 717074000 1075611000 2151222000