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10220000 = 2554773
BaseRepresentation
bin100110111111…
…000111100000
3201020020012112
4212333013200
510104020000
61003014452
7152603630
oct46770740
921206175
1010220000
11585048a
12350a428
13216aa4b
1415006c0
15d6d235
hex9bf1e0

10220000 has 120 divisors (see below), whose sum is σ = 29128176. Its totient is φ = 3456000.

The previous prime is 10219999. The next prime is 10220003. The reversal of 10220000 is 2201.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220003) 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, 139964 + ... + 140036.

Almost surely, 210220000 is an apocalyptic number.

10220000 is a gapful number since it is divisible by the number (10) 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 10220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14564088).

10220000 is an abundant number, since it is smaller than the sum of its proper divisors (18908176).

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

10220000 is an frugal number, since it uses more digits than its factorization.

10220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 10220000 is about 3196.8734726292. The cubic root of 10220000 is about 217.0119412684.

Adding to 10220000 its reverse (2201), we get a palindrome (10222201).

It can be divided in two parts, 102 and 20000, that added together give a palindrome (20102).

The spelling of 10220000 in words is "ten million, two hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 73 80 100 112 125 140 146 160 175 200 224 250 280 292 350 365 400 500 511 560 584 625 700 730 800 875 1000 1022 1120 1168 1250 1400 1460 1750 1825 2000 2044 2336 2500 2555 2800 2920 3500 3650 4000 4088 4375 5000 5110 5600 5840 7000 7300 8176 8750 9125 10000 10220 11680 12775 14000 14600 16352 17500 18250 20000 20440 25550 28000 29200 35000 36500 40880 45625 51100 58400 63875 70000 73000 81760 91250 102200 127750 140000 146000 182500 204400 255500 292000 319375 365000 408800 511000 638750 730000 1022000 1277500 1460000 2044000 2555000 5110000 10220000