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214193848 = 231123971091
BaseRepresentation
bin11001100010001…
…01011010111000
3112221001011201111
430301011122320
5414313200343
633130530104
75210421601
oct1461053270
9487034644
10214193848
11aa9a8010
125b896934
13354b6a2b
1420638da8
1513c0ec9d
hexcc456b8

214193848 has 64 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 92083200.

The previous prime is 214193843. The next prime is 214193869. The reversal of 214193848 is 848391412.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 214193848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214193843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195783 + ... + 196873.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2214193848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214193848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

214193848 is an abundant number, since it is smaller than the sum of its proper divisors (248115272).

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

214193848 is a wasteful number, since it uses less digits than its factorization.

214193848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1224 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 214193848 is about 14635.3629268290. The cubic root of 214193848 is about 598.3229539318.

The spelling of 214193848 in words is "two hundred fourteen million, one hundred ninety-three thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 97 184 194 253 388 506 776 1012 1067 1091 2024 2134 2182 2231 4268 4364 4462 8536 8728 8924 12001 17848 24002 24541 25093 48004 49082 50186 96008 98164 100372 105827 196328 200744 211654 276023 423308 552046 846616 1104092 1164097 2208184 2328194 2434021 4656388 4868042 9312776 9736084 19472168 26774231 53548462 107096924 214193848