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223222430420 = 2251137167164209
BaseRepresentation
bin1100111111100100010…
…1111111101011010100
3210100011202101101020222
43033321011333223110
512124124420233140
6250314051213512
722061442231533
oct3177105775324
9710152341228
10223222430420
1186739273960
12373188a7298
13180854ba072
14ab3835031a
155c1706e5b5
hex33f917fad4

223222430420 has 96 divisors (see below), whose sum is σ = 528351586560. Its totient is φ = 78504560640.

The previous prime is 223222430413. The next prime is 223222430461. The reversal of 223222430420 is 24034222322.

It is a super-3 number, since 3×2232224304203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223222430420.

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, 1277276 + ... + 1441484.

It is an arithmetic number, because the mean of its divisors is an integer number (5503662360).

Almost surely, 2223222430420 is an apocalyptic number.

223222430420 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 223222430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264175793280).

223222430420 is an abundant number, since it is smaller than the sum of its proper divisors (305129156140).

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

223222430420 is a wasteful number, since it uses less digits than its factorization.

223222430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164433 (or 164431 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 223222430420 its reverse (24034222322), we get a palindrome (247256652742).

The spelling of 223222430420 in words is "two hundred twenty-three billion, two hundred twenty-two million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 167 185 220 334 370 407 668 740 814 835 1628 1670 1837 2035 3340 3674 4070 6179 7348 8140 9185 12358 18370 24716 30895 36740 61790 67969 123580 135938 164209 271876 328418 339845 656836 679690 821045 1359380 1642090 1806299 3284180 3612598 6075733 7225196 9031495 12151466 18062990 24302932 27422903 30378665 36125980 54845806 60757330 66833063 109691612 121514660 133666126 137114515 267332252 274229030 301651933 334165315 548458060 603303866 668330630 1014647411 1206607732 1336661260 1508259665 2029294822 3016519330 4058589644 5073237055 6033038660 10146474110 11161121521 20292948220 22322243042 44644486084 55805607605 111611215210 223222430420