Search a number
-
+
221230223100 = 223252415995399
BaseRepresentation
bin1100111000001001011…
…0010100111011111100
3210011000220200202120200
43032002112110323330
512111034414114400
6245344243243500
721661201604115
oct3160226247374
9704026622520
10221230223100
118590676a027
1236a61679590
1317b28840973
14a9c992320c
155b4c1eab00
hex3382594efc

221230223100 has 108 divisors (see below), whose sum is σ = 710346982800. Its totient is φ = 57555820800.

The previous prime is 221230223041. The next prime is 221230223101. The reversal of 221230223100 is 1322032122.

It is a super-3 number, since 3×2212302231003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221230223101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2960800 + ... + 3034599.

Almost surely, 2221230223100 is an apocalyptic number.

221230223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221230223100 is an abundant number, since it is smaller than the sum of its proper divisors (489116759700).

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

221230223100 is a wasteful number, since it uses less digits than its factorization.

221230223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995460 (or 5995450 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221230223100 its reverse (1322032122), we get a palindrome (222552255222).

The spelling of 221230223100 in words is "two hundred twenty-one billion, two hundred thirty million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 5995399 11990798 17986197 23981596 29976995 35972394 53958591 59953990 71944788 89930985 107917182 119907980 149884975 179861970 215834364 245811359 269792955 299769950 359723940 449654925 491622718 539585910 599539900 737434077 899309850 983245436 1079171820 1229056795 1348964775 1474868154 1798619700 2212302231 2458113590 2697929550 2949736308 3687170385 4424604462 4916227180 5395859100 6145283975 7374340770 8849208924 11061511155 12290567950 14748681540 18435851925 22123022310 24581135900 36871703850 44246044620 55307555775 73743407700 110615111550 221230223100