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22010212000 = 255372112297
BaseRepresentation
bin10100011111111010…
…010010111010100000
32002210221002121201001
4110133322102322200
5330034103241000
614040015121344
71406301500200
oct243772227240
962727077631
1022010212000
119375211057
124323213254
1320c9cb91aa
1410cb27c400
1588c49946a
hex51fe92ea0

22010212000 has 144 divisors (see below), whose sum is σ = 62908890408. Its totient is φ = 7546291200.

The previous prime is 22010211959. The next prime is 22010212013. The reversal of 22010212000 is 21201022.

It can be written as a sum of positive squares in 4 ways, for example, as 5643615376 + 16366596624 = 75124^2 + 127932^2 .

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 23 ways as a sum of consecutive naturals, for example, 139852 + ... + 252148.

Almost surely, 222010212000 is an apocalyptic number.

22010212000 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 22010212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31454445204).

22010212000 is an abundant number, since it is smaller than the sum of its proper divisors (40898678408).

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

22010212000 is a wasteful number, since it uses less digits than its factorization.

22010212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112336 (or 112311 counting only the distinct ones).

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

Adding to 22010212000 its reverse (21201022), we get a palindrome (22031413022).

The spelling of 22010212000 in words is "twenty-two billion, ten million, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 112297 196000 224594 449188 561485 786079 898376 1122970 1572158 1796752 2245940 2807425 3144316 3593504 3930395 4491880 5502553 5614850 6288632 7860790 8983760 11005106 11229700 12577264 14037125 15721580 17967520 19651975 22010212 22459400 25154528 27512765 28074250 31443160 39303950 44020424 44918800 55025530 56148500 62886320 78607900 88040848 89837600 98259875 110051060 112297000 125772640 137563825 157215800 176081696 196519750 220102120 224594000 275127650 314431600 393039500 440204240 449188000 550255300 628863200 687819125 786079000 880408480 1100510600 1375638250 1572158000 2201021200 2751276500 3144316000 4402042400 5502553000 11005106000 22010212000