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22212010000 = 245416313627
BaseRepresentation
bin10100101011111100…
…000110000000010000
32010022222211000112001
4110223330012000100
5330442233310000
614112024243344
71414301653435
oct245374060020
963288730461
1022212010000
119469111964
12437a910554
13212ca529ab
141109dabb8c
158a005b46a
hex52bf06010

22212010000 has 100 divisors (see below), whose sum is σ = 54111391312. Its totient is φ = 8829648000.

The previous prime is 22212009961. The next prime is 22212010003. The reversal of 22212010000 is 1021222.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (22212010003) by changing a digit.

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, 1623187 + ... + 1636813.

Almost surely, 222212010000 is an apocalyptic number.

22212010000 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 22212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27055695656).

22212010000 is an abundant number, since it is smaller than the sum of its proper divisors (31899381312).

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

22212010000 is a wasteful number, since it uses less digits than its factorization.

22212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13818 (or 13797 counting only the distinct ones).

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

Adding to 22212010000 its reverse (1021222), we get a palindrome (22213031222).

The spelling of 22212010000 in words is "twenty-two billion, two hundred twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 200 250 326 400 500 625 652 815 1000 1250 1304 1630 2000 2500 2608 3260 4075 5000 6520 8150 10000 13040 13627 16300 20375 27254 32600 40750 54508 65200 68135 81500 101875 109016 136270 163000 203750 218032 272540 326000 340675 407500 545080 681350 815000 1090160 1362700 1630000 1703375 2221201 2725400 3406750 4442402 5450800 6813500 8516875 8884804 11106005 13627000 17033750 17769608 22212010 27254000 34067500 35539216 44424020 55530025 68135000 88848040 111060050 136270000 177696080 222120100 277650125 444240200 555300250 888480400 1110600500 1388250625 2221201000 2776501250 4442402000 5553002500 11106005000 22212010000