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214413150 = 23527375519
BaseRepresentation
bin11001100011110…
…10111101011110
3112221110022112210
430301322331132
5414342210100
633135341250
75212324140
oct1461727536
9487408483
10214413150
11100037856
125b981826
13355627b3
1420694c90
1513c54c50
hexcc7af5e

214413150 has 96 divisors (see below), whose sum is σ = 624245760. Its totient is φ = 47675520.

The previous prime is 214413131. The next prime is 214413161. The reversal of 214413150 is 51314412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36091 + ... + 41609.

It is an arithmetic number, because the mean of its divisors is an integer number (6502560).

Almost surely, 2214413150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214413150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312122880).

214413150 is an abundant number, since it is smaller than the sum of its proper divisors (409832610).

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

214413150 is a wasteful number, since it uses less digits than its factorization.

214413150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5578 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 214413150 is about 14642.8532055744. The cubic root of 214413150 is about 598.5270815888.

Adding to 214413150 its reverse (51314412), we get a palindrome (265727562).

The spelling of 214413150 in words is "two hundred fourteen million, four hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 350 370 518 525 555 777 925 1050 1110 1295 1554 1850 2590 2775 3885 5519 5550 6475 7770 11038 12950 16557 19425 27595 33114 38633 38850 55190 77266 82785 115899 137975 165570 193165 204203 231798 275950 386330 408406 413925 579495 612609 827850 965825 1021015 1158990 1225218 1429421 1931650 2042030 2858842 2897475 3063045 4288263 5105075 5794950 6126090 7147105 8576526 10210150 14294210 15315225 21441315 30630450 35735525 42882630 71471050 107206575 214413150