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212214313422320 = 24511241152628889
BaseRepresentation
bin110000010000000111111110…
…110001001000110111110000
31000211101111020101020001000212
4300100013332301020313300
5210303404403214003240
62031201524300003252
762461656342344336
oct6020077661106760
91024344211201025
10212214313422320
11616886485693a0
121b974680230528
1391549544c6aa1
143a59328665b56
1519802abd28165
hexc101fec48df0

212214313422320 has 40 divisors (see below), whose sum is σ = 538252667682480. Its totient is φ = 77168841244160.

The previous prime is 212214313422301. The next prime is 212214313422329. The reversal of 212214313422320 is 23224313412212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212214313422329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120576313565 + ... + 120576315324.

It is an arithmetic number, because the mean of its divisors is an integer number (13456316692062).

Almost surely, 2212214313422320 is an apocalyptic number.

212214313422320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212214313422320 is an abundant number, since it is smaller than the sum of its proper divisors (326038354260160).

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

212214313422320 is a wasteful number, since it uses less digits than its factorization.

212214313422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241152628913 (or 241152628907 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 212214313422320 its reverse (23224313412212), we get a palindrome (235438626834532).

The spelling of 212214313422320 in words is "two hundred twelve trillion, two hundred fourteen billion, three hundred thirteen million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 241152628889 482305257778 964610515556 1205763144445 1929221031112 2411526288890 2652678917779 3858442062224 4823052577780 5305357835558 9646105155560 10610715671116 13263394588895 19292210311120 21221431342232 26526789177790 42442862684464 53053578355580 106107156711160 212214313422320