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2204320100 = 2252316710613
BaseRepresentation
bin1000001101100011…
…0100000101100100
312200121211001201012
42003120310011210
514003301220400
61002422121352
7105424261133
oct20330640544
95617731635
102204320100
11a31310354
12516280258
132918b4b28
1416ca8391a
15cd7c1d35
hex83634164

2204320100 has 72 divisors (see below), whose sum is σ = 5011845888. Its totient is φ = 840470400.

The previous prime is 2204320091. The next prime is 2204320109. The reversal of 2204320100 is 10234022.

It is an interprime number because it is at equal distance from previous prime (2204320091) and next prime (2204320109).

It is a super-3 number, since 3×22043201003 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2204320109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202394 + ... + 213006.

Almost surely, 22204320100 is an apocalyptic number.

2204320100 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 2204320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505922944).

2204320100 is an abundant number, since it is smaller than the sum of its proper divisors (2807525788).

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

2204320100 is a wasteful number, since it uses less digits than its factorization.

2204320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725 (or 10718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2204320100 is about 46950.1874330657. The cubic root of 2204320100 is about 1301.4422061463.

Adding to 2204320100 its reverse (10234022), we get a palindrome (2214554122).

The spelling of 2204320100 in words is "two billion, two hundred four million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 67 100 124 134 155 268 310 335 620 670 775 1340 1550 1675 2077 3100 3350 4154 6700 8308 10385 10613 20770 21226 41540 42452 51925 53065 103850 106130 207700 212260 265325 329003 530650 658006 711071 1061300 1316012 1422142 1645015 2844284 3290030 3555355 6580060 7110710 8225075 14221420 16450150 17776775 22043201 32900300 35553550 44086402 71107100 88172804 110216005 220432010 440864020 551080025 1102160050 2204320100