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212233414322040 = 233519372515806239
BaseRepresentation
bin110000010000011001110001…
…010001010010011101111000
31000211110022112112221021120020
4300100121301101102131320
5210304213013031301130
62031214403510330440
762463233566330536
oct6020316121223570
91024408475837506
10212233414322040
116169575a520031
121b978311059a20
1391566a9831707
143a5a21b387156
151980a28b93e10
hexc10671452778

212233414322040 has 128 divisors (see below), whose sum is σ = 688324587264000. Its totient is φ = 52167758151168.

The previous prime is 212233414321997. The next prime is 212233414322099. The reversal of 212233414322040 is 40223414332212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212233414321992 and 212233414322010.

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, 1257818760 + ... + 1257987479.

It is an arithmetic number, because the mean of its divisors is an integer number (5377535838000).

Almost surely, 2212233414322040 is an apocalyptic number.

212233414322040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233414322040 is an abundant number, since it is smaller than the sum of its proper divisors (476091172941960).

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

212233414322040 is a wasteful number, since it uses less digits than its factorization.

212233414322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515806309 (or 2515806305 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 212233414322040 its reverse (40223414332212), we get a palindrome (252456828654252).

The spelling of 212233414322040 in words is "two hundred twelve trillion, two hundred thirty-three billion, four hundred fourteen million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 185 190 222 228 285 296 370 380 444 456 555 570 703 740 760 888 1110 1140 1406 1480 2109 2220 2280 2812 3515 4218 4440 5624 7030 8436 10545 14060 16872 21090 28120 42180 84360 2515806239 5031612478 7547418717 10063224956 12579031195 15094837434 20126449912 25158062390 30189674868 37737093585 47800318541 50316124780 60379349736 75474187170 93084830843 95600637082 100632249560 143400955623 150948374340 186169661686 191201274164 239001592705 279254492529 286801911246 301896748680 372339323372 382402548328 465424154215 478003185410 558508985058 573603822492 717004778115 744678646744 930848308430 956006370820 1117017970116 1147207644984 1396272462645 1434009556230 1768611786017 1861696616860 1912012741640 2234035940232 2792544925290 2868019112460 3537223572034 3723393233720 5305835358051 5585089850580 5736038224920 7074447144068 8843058930085 10611670716102 11170179701160 14148894288136 17686117860170 21223341432204 26529176790255 35372235720340 42446682864408 53058353580510 70744471440680 106116707161020 212233414322040