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10220022000 = 243253567779
BaseRepresentation
bin10011000010010100…
…10010100011110000
3222101020202220120100
421201022102203300
5131412311201000
64410042312400
7511155516336
oct114112224360
928336686510
1010220022000
114374a32881
121b927b8700
13c6b464bc6
146cd477b56
153ec36ea00
hex2612928f0

10220022000 has 120 divisors (see below), whose sum is σ = 35695193040. Its totient is φ = 2725334400.

The previous prime is 10220021957. The next prime is 10220022031. The reversal of 10220022000 is 22002201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 265890 + ... + 301889.

It is an arithmetic number, because the mean of its divisors is an integer number (297459942).

Almost surely, 210220022000 is an apocalyptic number.

10220022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220022000 is an abundant number, since it is smaller than the sum of its proper divisors (25475171040).

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

10220022000 is a wasteful number, since it uses less digits than its factorization.

10220022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567808 (or 567789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10220022000 its reverse (22002201), we get a palindrome (10242024201).

The spelling of 10220022000 in words is "ten billion, two hundred twenty million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 567779 1135558 1703337 2271116 2838895 3406674 4542232 5110011 5677790 6813348 8516685 9084464 10220022 11355580 13626696 14194475 17033370 20440044 22711160 25550055 27253392 28388950 34066740 40880088 42583425 45422320 51100110 56777900 68133480 70972375 81760176 85166850 102200220 113555800 127750275 136266960 141944750 170333700 204400440 212917125 227111600 255500550 283889500 340667400 408800880 425834250 511001100 567779000 638751375 681334800 851668500 1022002200 1135558000 1277502750 1703337000 2044004400 2555005500 3406674000 5110011000 10220022000