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23214390 = 23519139293
BaseRepresentation
bin101100010001…
…1100100110110
31121200102011020
41120203210312
521420330030
62145322010
7401214303
oct130434466
947612136
1023214390
1112116351
127936306
134a6a534
1431240aa
152088510
hex1623936

23214390 has 64 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 5802624.

The previous prime is 23214329. The next prime is 23214391. The reversal of 23214390 is 9341232.

It is a self number, because there is not a number n which added to its sum of digits gives 23214390.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214391) 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, 79084 + ... + 79376.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 223214390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23214390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

23214390 is an abundant number, since it is smaller than the sum of its proper divisors (36056010).

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

23214390 is a wasteful number, since it uses less digits than its factorization.

23214390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 23214390 is about 4818.1313805250. The cubic root of 23214390 is about 285.2675849446.

The spelling of 23214390 in words is "twenty-three million, two hundred fourteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 139 190 278 285 293 417 570 586 695 834 879 1390 1465 1758 2085 2641 2930 4170 4395 5282 5567 7923 8790 11134 13205 15846 16701 26410 27835 33402 39615 40727 55670 79230 81454 83505 122181 167010 203635 244362 407270 610905 773813 1221810 1547626 2321439 3869065 4642878 7738130 11607195 23214390