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22100100 = 223521137181
BaseRepresentation
bin101010001001…
…1100010000100
31112120210122020
41110103202010
521124200400
62105403140
7355563531
oct124234204
945523566
1022100100
1111525150
1274994b0
13476a2a9
142d13d88
151e182a0
hex1513884

22100100 has 144 divisors (see below), whose sum is σ = 72037056. Its totient is φ = 5184000.

The previous prime is 22100081. The next prime is 22100129. The reversal of 22100100 is 100122.

Adding to 22100100 its reverse (100122), we get a palindrome (22200222).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122010 + ... + 122190.

Almost surely, 222100100 is an apocalyptic number.

22100100 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 22100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36018528).

22100100 is an abundant number, since it is smaller than the sum of its proper divisors (49936956).

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

22100100 is a wasteful number, since it uses less digits than its factorization.

22100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 22100100 is about 4701.0743452960. The cubic root of 22100100 is about 280.6282661082.

The spelling of 22100100 in words is "twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 181 185 220 222 275 300 330 362 370 407 444 543 550 555 660 724 740 814 825 905 925 1086 1100 1110 1221 1628 1650 1810 1850 1991 2035 2172 2220 2442 2715 2775 3300 3620 3700 3982 4070 4525 4884 5430 5550 5973 6105 6697 7964 8140 9050 9955 10175 10860 11100 11946 12210 13394 13575 18100 19910 20091 20350 23892 24420 26788 27150 29865 30525 33485 39820 40182 40700 49775 54300 59730 61050 66970 73667 80364 99550 100455 119460 122100 133940 147334 149325 167425 199100 200910 221001 294668 298650 334850 368335 401820 442002 502275 597300 669700 736670 884004 1004550 1105005 1473340 1841675 2009100 2210010 3683350 4420020 5525025 7366700 11050050 22100100