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2210212000000 = 2856552553
BaseRepresentation
bin100000001010011010111…
…001101011000100000000
321211021221110210212220201
4200022122321223010000
5242203003233000000
64411205105414544
7315453054010564
oct40123271530400
97737843725821
102210212000000
11782389065804
122b842b63a454
13130564469ca4
1478d90d1b6a4
153c75cc3996a
hex2029ae6b100

2210212000000 has 126 divisors (see below), whose sum is σ = 5514677340914. Its totient is φ = 884083200000.

The previous prime is 2210211999997. The next prime is 2210212000019. The reversal of 2210212000000 is 2120122.

It can be written as a sum of positive squares in 7 ways, for example, as 2166407184384 + 43804815616 = 1471872^2 + 209296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3723724 + ... + 4276276.

Almost surely, 22210212000000 is an apocalyptic number.

2210212000000 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 2210212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757338670457).

2210212000000 is an abundant number, since it is smaller than the sum of its proper divisors (3304465340914).

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

2210212000000 is an frugal number, since it uses more digits than its factorization.

2210212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552599 (or 552560 counting only the distinct ones).

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

Adding to 2210212000000 its reverse (2120122), we get a palindrome (2210214120122).

The spelling of 2210212000000 in words is "two trillion, two hundred ten billion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 552553 800000 1000000 1105106 2000000 2210212 2762765 4000000 4420424 5525530 8840848 11051060 13813825 17681696 22102120 27627650 35363392 44204240 55255300 69069125 70726784 88408480 110510600 138138250 141453568 176816960 221021200 276276500 345345625 353633920 442042400 552553000 690691250 707267840 884084800 1105106000 1381382500 1726728125 1768169600 2210212000 2762765000 3453456250 3536339200 4420424000 5525530000 6906912500 8633640625 8840848000 11051060000 13813825000 17267281250 17681696000 22102120000 27627650000 34534562500 44204240000 55255300000 69069125000 88408480000 110510600000 138138250000 221021200000 276276500000 442042400000 552553000000 1105106000000 2210212000000