Search a number
-
+
100222200 = 233252134283
BaseRepresentation
bin1011111100101…
…00010011111000
320222120211000100
411332110103320
5201124102300
613540035400
72324606001
oct576242370
9228524010
10100222200
1151633471
1229692b60
13179c09a0
14d44c1a8
158bea700
hex5f944f8

100222200 has 144 divisors (see below), whose sum is σ = 362554920. Its totient is φ = 24664320.

The previous prime is 100222183. The next prime is 100222217. The reversal of 100222200 is 2222001.

It is an interprime number because it is at equal distance from previous prime (100222183) and next prime (100222217).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21259 + ... + 25541.

Almost surely, 2100222200 is an apocalyptic number.

100222200 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 100222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181277460).

100222200 is an abundant number, since it is smaller than the sum of its proper divisors (262332720).

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

100222200 is a wasteful number, since it uses less digits than its factorization.

100222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4306 counting only the distinct ones).

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

The square root of 100222200 is about 10011.1038352421. The cubic root of 100222200 is about 464.5024160565.

Adding to 100222200 its reverse (2222001), we get a palindrome (102444201).

The spelling of 100222200 in words is "one hundred million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4283 4680 5850 7800 8566 11700 12849 17132 21415 23400 25698 34264 38547 42830 51396 55679 64245 77094 85660 102792 107075 111358 128490 154188 167037 171320 192735 214150 222716 256980 278395 308376 321225 334074 385470 428300 445432 501111 513960 556790 642450 668148 770940 835185 856600 963675 1002222 1113580 1284900 1336296 1391975 1541880 1670370 1927350 2004444 2227160 2505555 2569800 2783950 3340740 3854700 4008888 4175925 5011110 5567900 6681480 7709400 8351850 10022220 11135800 12527775 16703700 20044440 25055550 33407400 50111100 100222200