Search a number
-
+
212354423251524 = 223227792753229589
BaseRepresentation
bin110000010010001010011101…
…111101101110001001000100
31000211212212212212120211010100
4300102022131331232021010
5210313203324323022044
62031350135243524100
762505046366264401
oct6022123575561104
91024785785524110
10212354423251524
1161732006947874
121b997862829630
139164c22a61478
143a6201a6c32a8
151983c5c4e1869
hexc1229df6e244

212354423251524 has 72 divisors (see below), whose sum is σ = 538730797976280. Its totient is φ = 70528199334912.

The previous prime is 212354423251507. The next prime is 212354423251549. The reversal of 212354423251524 is 425152324453212.

212354423251524 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 5 + 4 + 42 + 32 + 51 + 524 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3930861369600 + 208423561881924 = 1982640^2 + 14436882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212354423251524.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924818122 + ... + 925047710.

It is an arithmetic number, because the mean of its divisors is an integer number (7482372194115).

Almost surely, 2212354423251524 is an apocalyptic number.

It is an amenable number.

212354423251524 is an abundant number, since it is smaller than the sum of its proper divisors (326376374724756).

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

212354423251524 is a wasteful number, since it uses less digits than its factorization.

212354423251524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322629 (or 322624 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 212354423251524 in words is "two hundred twelve trillion, three hundred fifty-four billion, four hundred twenty-three million, two hundred fifty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 3324 4986 9972 92753 185506 229589 278259 371012 459178 556518 688767 834777 918356 1113036 1377534 1669554 2066301 2755068 3339108 4132602 8265204 25692581 51385162 63596153 77077743 102770324 127192306 154155486 190788459 231233229 254384612 308310972 381576918 462466458 572365377 763153836 924932916 1144730754 2289461508 21295068517 42590137034 63885205551 85180274068 127770411102 191655616653 255540822204 383311233306 766622466612 5898733979209 11797467958418 17696201937627 23594935916836 35392403875254 53088605812881 70784807750508 106177211625762 212354423251524