Search a number
-
+
2201011202200 = 235219988762347
BaseRepresentation
bin100000000001110110011…
…111011010100010011000
321210102012020212221002211
4200001312133122202120
5242030132331432300
64403044112404504
7315006052350316
oct40016637324230
97712166787084
102201011202200
11779497497188
122b66a2246734
1312c729213535
147875ad970b6
153c3c00e74ba
hex200767da898

2201011202200 has 96 divisors (see below), whose sum is σ = 5148947232000. Its totient is φ = 874978727040.

The previous prime is 2201011202107. The next prime is 2201011202209. The reversal of 2201011202200 is 22021101022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201011202209) 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, 35271427 + ... + 35333773.

It is an arithmetic number, because the mean of its divisors is an integer number (53634867000).

Almost surely, 22201011202200 is an apocalyptic number.

2201011202200 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 2201011202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574473616000).

2201011202200 is an abundant number, since it is smaller than the sum of its proper divisors (2947936029800).

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

2201011202200 is a wasteful number, since it uses less digits than its factorization.

2201011202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63449 (or 63440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2201011202200 its reverse (22021101022), we get a palindrome (2223032303222).

The spelling of 2201011202200 in words is "two trillion, two hundred one billion, eleven million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 199 200 398 796 887 995 1592 1774 1990 3548 3980 4435 4975 7096 7960 8870 9950 17740 19900 22175 35480 39800 44350 62347 88700 124694 176513 177400 249388 311735 353026 498776 623470 706052 882565 1246940 1412104 1558675 1765130 2493880 3117350 3530260 4412825 6234700 7060520 8825650 12407053 12469400 17651300 24814106 35302600 49628212 55301789 62035265 99256424 110603578 124070530 221207156 248141060 276508945 310176325 442414312 496282120 553017890 620352650 1106035780 1240705300 1382544725 2212071560 2481410600 2765089450 5530178900 11005056011 11060357800 22010112022 44020224044 55025280055 88040448088 110050560110 220101120220 275126400275 440202240440 550252800550 1100505601100 2201011202200