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2212120000 = 2654291907
BaseRepresentation
bin1000001111011010…
…0100010111000000
312201011111100011101
42003312210113000
514012300320000
61003301224144
7105550465306
oct20366442700
95634440141
102212120000
11a35758552
12518a02054
132933b615c
1416db14276
15ce312e6a
hex83da45c0

2212120000 has 140 divisors (see below), whose sum is σ = 5677463880. Its totient is φ = 853888000.

The previous prime is 2212119983. The next prime is 2212120069. The reversal of 2212120000 is 212122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1159047 + ... + 1160953.

Almost surely, 22212120000 is an apocalyptic number.

2212120000 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 2212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838731940).

2212120000 is an abundant number, since it is smaller than the sum of its proper divisors (3465343880).

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

2212120000 is an equidigital number, since it uses as much as digits as its factorization.

2212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2212120000 is about 47033.1797776846. The cubic root of 2212120000 is about 1302.9754331692.

Adding to 2212120000 its reverse (212122), we get a palindrome (2212332122).

The spelling of 2212120000 in words is "two billion, two hundred twelve million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1600 1856 1907 2000 2320 2500 2900 3625 3814 4000 4640 5000 5800 7250 7628 8000 9280 9535 10000 11600 14500 15256 18125 19070 20000 23200 29000 30512 36250 38140 40000 46400 47675 55303 58000 61024 72500 76280 95350 110606 116000 122048 145000 152560 190700 221212 232000 238375 276515 290000 305120 381400 442424 476750 553030 580000 610240 762800 884848 953500 1106060 1160000 1191875 1382575 1525600 1769696 1907000 2212120 2383750 2765150 3051200 3539392 3814000 4424240 4767500 5530300 6912875 7628000 8848480 9535000 11060600 13825750 15256000 17696960 19070000 22121200 27651500 34564375 38140000 44242400 55303000 69128750 76280000 88484800 110606000 138257500 221212000 276515000 442424000 553030000 1106060000 2212120000