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164214778 = 27213157821
BaseRepresentation
bin10011100100110…
…11011111111010
3102102222222022211
421302123133322
5314014333103
624143405334
74032542200
oct1162333772
9372888284
10164214778
1184770aa2
1246bb384a
1328038010
1417b49070
15e63b36d
hex9c9b7fa

164214778 has 48 divisors (see below), whose sum is σ = 310923144. Its totient is φ = 64471680.

The previous prime is 164214709. The next prime is 164214793. The reversal of 164214778 is 877412461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77668969 + 86545809 = 8813^2 + 9303^2 .

164214778 is a modest number, since divided by 14778 gives 1642 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 164214778.

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, 199608 + ... + 200428.

Almost surely, 2164214778 is an apocalyptic number.

164214778 is a deficient number, since it is larger than the sum of its proper divisors (146708366).

164214778 is a wasteful number, since it uses less digits than its factorization.

164214778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 164214778 is about 12814.6314032047. The cubic root of 164214778 is about 547.6092126608.

It can be divided in two parts, 1642 and 14778, that multiplied together give a square (24265476 = 49262).

The spelling of 164214778 in words is "one hundred sixty-four million, two hundred fourteen thousand, seven hundred seventy-eight".

Divisors: 1 2 7 13 14 26 49 91 98 157 182 314 637 821 1099 1274 1642 2041 2198 4082 5747 7693 10673 11494 14287 15386 21346 28574 40229 74711 80458 100009 128897 149422 200018 257794 522977 902279 1045954 1675661 1804558 3351322 6315953 11729627 12631906 23459254 82107389 164214778