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214140792 = 233193731259
BaseRepresentation
bin11001100001110…
…00011101111000
3112220221110221110
430300320131320
5414310001132
633125440320
75210111115
oct1460703570
9486843843
10214140792
11aa971168
125b8700a0
1335498838
142062390c
1513bee1cc
hexcc38778

214140792 has 64 divisors (see below), whose sum is σ = 565488000. Its totient is φ = 67388544.

The previous prime is 214140739. The next prime is 214140799. The reversal of 214140792 is 297041412.

214140792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214140799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169459 + ... + 170717.

It is an arithmetic number, because the mean of its divisors is an integer number (8835750).

Almost surely, 2214140792 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 214140792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282744000).

214140792 is an abundant number, since it is smaller than the sum of its proper divisors (351347208).

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

214140792 is a wasteful number, since it uses less digits than its factorization.

214140792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 214140792 is about 14633.5502185902. The cubic root of 214140792 is about 598.2735481492.

The spelling of 214140792 in words is "two hundred fourteen million, one hundred forty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 373 456 746 1119 1259 1492 2238 2518 2984 3777 4476 5036 7087 7554 8952 10072 14174 15108 21261 23921 28348 30216 42522 47842 56696 71763 85044 95684 143526 170088 191368 287052 469607 574104 939214 1408821 1878428 2817642 3756856 5635284 8922533 11270568 17845066 26767599 35690132 53535198 71380264 107070396 214140792