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11222320230 = 23351131121889
BaseRepresentation
bin10100111001110011…
…10000010001100110
31001222002202221021000
422130321300101212
5140440403221410
65053325134130
7545046101532
oct123471602146
931862687230
1011222320230
114839786320
1222123ba346
13109acc8194
14786622bc2
1545a356dc0
hex29ce70466

11222320230 has 128 divisors (see below), whose sum is σ = 33700147200. Its totient is φ = 2632780800.

The previous prime is 11222320169. The next prime is 11222320247. The reversal of 11222320230 is 3202322211.

11222320230 is a `hidden beast` number, since 112 + 2 + 2 + 320 + 230 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31126 + ... + 153014.

It is an arithmetic number, because the mean of its divisors is an integer number (263282400).

Almost surely, 211222320230 is an apocalyptic number.

11222320230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222320230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16850073600).

11222320230 is an abundant number, since it is smaller than the sum of its proper divisors (22477826970).

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

11222320230 is a wasteful number, since it uses less digits than its factorization.

11222320230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121947 (or 121941 counting only the distinct ones).

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

Adding to 11222320230 its reverse (3202322211), we get a palindrome (14424642441).

It can be divided in two parts, 11 and 222320230, that added together give a triangular number (222320241 = T21086).

The spelling of 11222320230 in words is "eleven billion, two hundred twenty-two million, three hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 135 155 165 186 198 270 279 297 310 330 341 465 495 558 594 682 837 930 990 1023 1395 1485 1674 1705 2046 2790 2970 3069 3410 4185 5115 6138 8370 9207 10230 15345 18414 30690 46035 92070 121889 243778 365667 609445 731334 1097001 1218890 1340779 1828335 2194002 2681558 3291003 3656670 3778559 4022337 5485005 6582006 6703895 7557118 8044674 10970010 11335677 12067011 13407790 16455015 18892795 20111685 22671354 24134022 32910030 34007031 36201033 37785590 40223370 41564149 56678385 60335055 68014062 72402066 83128298 102021093 113356770 120670110 124692447 170035155 181005165 204042186 207820745 249384894 340070310 362010330 374077341 415641490 510105465 623462235 748154682 1020210930 1122232023 1246924470 1870386705 2244464046 3740773410 5611160115 11222320230