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2223303240440 = 23523123112891523
BaseRepresentation
bin100000010110100111001…
…100110010101011111000
321212112201211021210201202
4200112213030302223320
5242411311112143230
64421212120233332
7316425345505412
oct40264714625370
97775654253652
102223303240440
11787996799487
122baa8390b848
1313186c7063c9
14798738379b2
153cc771b0a45
hex205a7332af8

2223303240440 has 128 divisors (see below), whose sum is σ = 5231655475200. Its totient is φ = 848747074560.

The previous prime is 2223303240427. The next prime is 2223303240451. The reversal of 2223303240440 is 440423033222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459817519 + ... + 1459819041.

It is an arithmetic number, because the mean of its divisors is an integer number (40872308400).

Almost surely, 22223303240440 is an apocalyptic number.

2223303240440 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 2223303240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615827737600).

2223303240440 is an abundant number, since it is smaller than the sum of its proper divisors (3008352234760).

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

2223303240440 is a wasteful number, since it uses less digits than its factorization.

2223303240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 2223303240440 its reverse (440423033222), we get a palindrome (2663726273662).

The spelling of 2223303240440 in words is "two trillion, two hundred twenty-three billion, three hundred three million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1231 1289 1523 2462 2578 3046 4924 5156 6092 6155 6445 7615 9848 10312 12184 12310 12890 15230 24620 25780 28313 29647 30460 35029 49240 51560 56626 59294 60920 70058 113252 118588 140116 141565 148235 175145 226504 237176 280232 283130 296470 350290 566260 592940 700580 1132520 1185880 1401160 1586759 1874813 1963147 3173518 3749626 3926294 6347036 7499252 7852588 7933795 9374065 9815735 12694072 14998504 15705176 15867590 18748130 19631470 31735180 36495457 37496260 39262940 43120699 45152381 63470360 72990914 74992520 78525880 86241398 90304762 145981828 172482796 180609524 182477285 215603495 225761905 291963656 344965592 361219048 364954570 431206990 451523810 729909140 862413980 903047620 1459818280 1724827960 1806095240 2416633957 4833267914 9666535828 12083169785 19333071656 24166339570 48332679140 55582581011 96665358280 111165162022 222330324044 277912905055 444660648088 555825810110 1111651620220 2223303240440