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223022123002032 = 24353619141625087
BaseRepresentation
bin110010101101011001100010…
…011010110010100010110000
31002020122201002012200210012220
4302231121202122302202300
5213212443301442031112
62110154540543521040
764655550054115644
oct6255314232624260
91066581065623186
10223022123002032
1165075173294a12
122101b2218b9180
139759b8555cc53
143d10484db6c24
151abb4b599298c
hexcad6626b28b0

223022123002032 has 80 divisors (see below), whose sum is σ = 587959385333760. Its totient is φ = 72820220219136.

The previous prime is 223022123002009. The next prime is 223022123002057. The reversal of 223022123002032 is 230200321220322.

It is a super-2 number, since 2×2230221230020322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 223022123001993 and 223022123002011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69237808 + ... + 72387279.

It is an arithmetic number, because the mean of its divisors is an integer number (7349492316672).

Almost surely, 2223022123002032 is an apocalyptic number.

It is an amenable number.

223022123002032 is an abundant number, since it is smaller than the sum of its proper divisors (364937262331728).

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

223022123002032 is a wasteful number, since it uses less digits than its factorization.

223022123002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141625770 (or 141625764 counting only the distinct ones).

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

Adding to 223022123002032 its reverse (230200321220322), we get a palindrome (453222444222354).

The spelling of 223022123002032 in words is "two hundred twenty-three trillion, twenty-two billion, one hundred twenty-three million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 619 636 848 1238 1272 1857 2476 2544 3714 4952 7428 9904 14856 29712 32807 65614 98421 131228 196842 262456 393684 524912 787368 1574736 141625087 283250174 424875261 566500348 849750522 1133000696 1699501044 2266001392 3399002088 6798004176 7506129611 15012259222 22518388833 30024518444 45036777666 60049036888 87665928853 90073555332 120098073776 175331857706 180147110664 262997786559 350663715412 360294221328 525995573118 701327430824 1051991146236 1402654861648 2103982292472 4207964584944 4646294229209 9292588458418 13938882687627 18585176916836 27877765375254 37170353833672 55755530750508 74340707667344 111511061501016 223022123002032