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2210022020000 = 2554402127481
BaseRepresentation
bin100000001010001111100…
…100111101001110100000
321211021110020022220100102
4200022033210331032200
5242202111114120000
64411134201441532
7315445256135204
oct40121744751640
97737406286312
102210022020000
117822a08a6a43
122b8397aa02a8
13130533cb06a2
1478d739c6b04
153c74b20e3d5
hex2028f93d3a0

2210022020000 has 120 divisors (see below), whose sum is σ = 5438535714612. Its totient is φ = 883756800000.

The previous prime is 2210022019979. The next prime is 2210022020009. The reversal of 2210022020000 is 202200122.

It can be written as a sum of positive squares in 10 ways, for example, as 143316759184 + 2066705260816 = 378572^2 + 1437604^2 .

It is not an unprimeable number, because it can be changed into a prime (2210022020009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80406260 + ... + 80433740.

Almost surely, 22210022020000 is an apocalyptic number.

2210022020000 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 2210022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719267857306).

2210022020000 is an abundant number, since it is smaller than the sum of its proper divisors (3228513694612).

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

2210022020000 is an equidigital number, since it uses as much as digits as its factorization.

2210022020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31532 (or 31509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2210022020000 its reverse (202200122), we get a palindrome (2210224220122).

The spelling of 2210022020000 in words is "two trillion, two hundred ten billion, twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 4021 5000 8042 10000 16084 20000 20105 27481 32168 40210 54962 64336 80420 100525 109924 128672 137405 160840 201050 219848 274810 321680 402100 439696 502625 549620 643360 687025 804200 879392 1005250 1099240 1374050 1608400 2010500 2198480 2513125 2748100 3216800 3435125 4021000 4396960 5026250 5496200 6870250 8042000 10052500 10992400 13740500 16084000 17175625 20105000 21984800 27481000 34351250 40210000 54962000 68702500 80420000 109924000 110501101 137405000 221002202 274810000 442004404 549620000 552505505 884008808 1105011010 1768017616 2210022020 2762527525 3536035232 4420044040 5525055050 8840088080 11050110100 13812637625 17680176160 22100220200 27625275250 44200440400 55250550500 69063188125 88400880800 110501101000 138126376250 221002202000 276252752500 442004404000 552505505000 1105011010000 2210022020000