Search a number
-
+
201202223100 = 223526164317099
BaseRepresentation
bin1011101101100010010…
…1100100011111111100
3201020100010110221112220
42323120211210133330
511244030232114400
6232233033525340
720351656451424
oct2733045443774
9636303427486
10201202223100
117836945620a
1232bb2273850
1315c864114a8
149a49a2d484
155378c9d7a0
hex2ed89647fc

201202223100 has 144 divisors (see below), whose sum is σ = 592643318400. Its totient is φ = 52689196800.

The previous prime is 201202223059. The next prime is 201202223107. The reversal of 201202223100 is 1322202102.

It is a happy number.

It is a super-2 number, since 2×2012022231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201202223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202223107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11758351 + ... + 11775449.

It is an arithmetic number, because the mean of its divisors is an integer number (4115578600).

Almost surely, 2201202223100 is an apocalyptic number.

201202223100 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 201202223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296321659200).

201202223100 is an abundant number, since it is smaller than the sum of its proper divisors (391441095300).

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

201202223100 is a wasteful number, since it uses less digits than its factorization.

201202223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17820 (or 17813 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201202223100 its reverse (1322202102), we get a palindrome (202524425202).

The spelling of 201202223100 in words is "two hundred one billion, two hundred two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 643 732 915 1220 1286 1525 1830 1929 2572 3050 3215 3660 3858 4575 6100 6430 7716 9150 9645 12860 16075 17099 18300 19290 32150 34198 38580 39223 48225 51297 64300 68396 78446 85495 96450 102594 117669 156892 170990 192900 196115 205188 235338 256485 341980 392230 427475 470676 512970 588345 784460 854950 980575 1025940 1043039 1176690 1282425 1709900 1961150 2086078 2353380 2564850 2941725 3129117 3922300 4172156 5129700 5215195 5883450 6258234 10430390 10994657 11766900 12516468 15645585 20860780 21989314 26075975 31291170 32983971 43978628 52151950 54973285 62582340 65967942 78227925 104303900 109946570 131935884 156455850 164919855 219893140 274866425 312911700 329839710 549732850 659679420 670674077 824599275 1099465700 1341348154 1649198550 2012022231 2682696308 3298397100 3353370385 4024044462 6706740770 8048088924 10060111155 13413481540 16766851925 20120222310 33533703850 40240444620 50300555775 67067407700 100601111550 201202223100