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22040032200 = 23352331110977
BaseRepresentation
bin10100100001101100…
…000011001111001000
32002220000012122022220
4110201230003033020
5330114222012300
614043002214040
71410113116434
oct244154031710
962800178286
1022040032200
11939002944a
1243311b4320
13210322a394
1410d12019c4
1588edd9da0
hex521b033c8

22040032200 has 96 divisors (see below), whose sum is σ = 68531134560. Its totient is φ = 5859532800.

The previous prime is 22040032181. The next prime is 22040032253. The reversal of 22040032200 is 223004022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22040032200.

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, 143112 + ... + 254088.

It is an arithmetic number, because the mean of its divisors is an integer number (713865985).

Almost surely, 222040032200 is an apocalyptic number.

22040032200 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 22040032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34265567280).

22040032200 is an abundant number, since it is smaller than the sum of its proper divisors (46491102360).

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

22040032200 is a wasteful number, since it uses less digits than its factorization.

22040032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111327 (or 111318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 22040032200 its reverse (223004022), we get a palindrome (22263036222).

The spelling of 22040032200 in words is "twenty-two billion, forty million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 331 600 662 993 1324 1655 1986 2648 3310 3972 4965 6620 7944 8275 9930 13240 16550 19860 24825 33100 39720 49650 66200 99300 110977 198600 221954 332931 443908 554885 665862 887816 1109770 1331724 1664655 2219540 2663448 2774425 3329310 4439080 5548850 6658620 8323275 11097700 13317240 16646550 22195400 33293100 36733387 66586200 73466774 110200161 146933548 183666935 220400322 293867096 367333870 440800644 551000805 734667740 881601288 918334675 1102001610 1469335480 1836669350 2204003220 2755004025 3673338700 4408006440 5510008050 7346677400 11020016100 22040032200