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223122330420 = 2235111451232987
BaseRepresentation
bin1100111111001100100…
…0001001001100110100
3210022220210000202212120
43033303020021030310
512123423304033140
6250300113515540
722056115342023
oct3176310111464
9708823022776
10223122330420
1186697814290
12372ab272bb0
131806a83cbb2
14ab28d348ba
155c0d39a1d0
hex33f3209334

223122330420 has 96 divisors (see below), whose sum is σ = 682009929216. Its totient is φ = 54052752000.

The previous prime is 223122330407. The next prime is 223122330481. The reversal of 223122330420 is 24033221322.

It is a super-3 number, since 3×2231223304203 (a number of 35 digits) contains 333 as substring.

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, 841167 + ... + 1074153.

It is an arithmetic number, because the mean of its divisors is an integer number (7104270096).

Almost surely, 2223122330420 is an apocalyptic number.

223122330420 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 223122330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341004964608).

223122330420 is an abundant number, since it is smaller than the sum of its proper divisors (458887598796).

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

223122330420 is a wasteful number, since it uses less digits than its factorization.

223122330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234461 (or 234459 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223122330420 its reverse (24033221322), we get a palindrome (247155551742).

The spelling of 223122330420 in words is "two hundred twenty-three billion, one hundred twenty-two million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1451 2902 4353 5804 7255 8706 14510 15961 17412 21765 29020 31922 43530 47883 63844 79805 87060 95766 159610 191532 232987 239415 319220 465974 478830 698961 931948 957660 1164935 1397922 2329870 2562857 2795844 3494805 4659740 5125714 6989610 7688571 10251428 12814285 13979220 15377142 25628570 30754284 38442855 51257140 76885710 153771420 338064137 676128274 1014192411 1352256548 1690320685 2028384822 3380641370 3718705507 4056769644 5070962055 6761282740 7437411014 10141924110 11156116521 14874822028 18593527535 20283848220 22312233042 37187055070 44624466084 55780582605 74374110140 111561165210 223122330420