Search a number
-
+
223333331220 = 22345413362441
BaseRepresentation
bin1100111111111110110…
…1000011000100010100
3210100110111001201120000
43033333231003010110
512124341313044340
6250333052211300
722064256664506
oct3177755030424
9710414051500
10223333331220
118679593030a
1237349a69b30
13180a247943c
14ab48d7bd76
155c21b78d30
hex33ffb43114

223333331220 has 120 divisors (see below), whose sum is σ = 717693070248. Its totient is φ = 58102963200.

The previous prime is 223333331219. The next prime is 223333331227. The reversal of 223333331220 is 22133333322.

It can be written as a sum of positive squares in 4 ways, for example, as 9036036 + 223324295184 = 3006^2 + 472572^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223333331227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1614801 + ... + 1747640.

Almost surely, 2223333331220 is an apocalyptic number.

223333331220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223333331220 is an abundant number, since it is smaller than the sum of its proper divisors (494359739028).

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

223333331220 is a wasteful number, since it uses less digits than its factorization.

223333331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362503 (or 3362492 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 223333331220 its reverse (22133333322), we get a palindrome (245466664542).

The spelling of 223333331220 in words is "two hundred twenty-three billion, three hundred thirty-three million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1230 1476 1620 1845 2214 2460 3321 3690 4428 5535 6642 7380 11070 13284 16605 22140 33210 66420 3362441 6724882 10087323 13449764 16812205 20174646 30261969 33624410 40349292 50436615 60523938 67248820 90785907 100873230 121047876 137860081 151309845 181571814 201746460 272357721 275720162 302619690 363143628 413580243 453929535 544715442 551440324 605239380 689300405 827160486 907859070 1089430884 1240740729 1361788605 1378600810 1654320972 1815718140 2067901215 2481481458 2723577210 2757201620 3722222187 4135802430 4962962916 5447154420 6203703645 7444444374 8271604860 11166666561 12407407290 14888888748 18611110935 22333333122 24814814580 37222221870 44666666244 55833332805 74444443740 111666665610 223333331220