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214073496 = 233371310891
BaseRepresentation
bin11001100001010…
…00000010011000
3112220211001122000
430300220002120
5414300322441
633124201000
75206410660
oct1460500230
9486731560
10214073496
11aa92564a
125b839160
1335474010
14206071a0
1513bd92b6
hexcc28098

214073496 has 128 divisors (see below), whose sum is σ = 731942400. Its totient is φ = 56453760.

The previous prime is 214073491. The next prime is 214073539. The reversal of 214073496 is 694370412.

214073496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 214073496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214073491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14211 + ... + 25101.

It is an arithmetic number, because the mean of its divisors is an integer number (5718300).

Almost surely, 2214073496 is an apocalyptic number.

214073496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214073496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365971200).

214073496 is an abundant number, since it is smaller than the sum of its proper divisors (517868904).

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

214073496 is a wasteful number, since it uses less digits than its factorization.

214073496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10926 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 214073496 is about 14631.2506642460. The cubic root of 214073496 is about 598.2108703278.

The spelling of 214073496 in words is "two hundred fourteen million, seventy-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 10891 19656 21782 32673 43564 65346 76237 87128 98019 130692 141583 152474 196038 228711 261384 283166 294057 304948 392076 424749 457422 566332 588114 609896 686133 784152 849498 914844 991081 1132664 1176228 1274247 1372266 1698996 1829688 1982162 2058399 2352456 2548494 2744532 2973243 3397992 3822741 3964324 4116798 5096988 5489064 5946486 7645482 7928648 8233596 8919729 10193976 11892972 15290964 16467192 17839458 23785944 26759187 30581928 35678916 53518374 71357832 107036748 214073496