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215142004 = 227111722417
BaseRepresentation
bin11001101001011…
…00111001110100
3112222211100100101
430310230321310
5420034021004
633203123444
75221451110
oct1464547164
9488740311
10215142004
11100495410
1260073584
133575947c
1420804740
1513d4aba4
hexcd2ce74

215142004 has 72 divisors (see below), whose sum is σ = 498843072. Its totient is φ = 78858240.

The previous prime is 215142001. The next prime is 215142017. The reversal of 215142004 is 400241512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215142001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87804 + ... + 90220.

It is an arithmetic number, because the mean of its divisors is an integer number (6928376).

Almost surely, 2215142004 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 215142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249421536).

215142004 is an abundant number, since it is smaller than the sum of its proper divisors (283701068).

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

215142004 is a wasteful number, since it uses less digits than its factorization.

215142004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 215142004 is about 14667.7197955238. The cubic root of 215142004 is about 599.2045050383.

Adding to 215142004 its reverse (400241512), we get a palindrome (615383516).

The spelling of 215142004 in words is "two hundred fifteen million, one hundred forty-two thousand, four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 289 308 374 476 578 748 1156 1309 2023 2417 2618 3179 4046 4834 5236 6358 8092 9668 12716 16919 22253 26587 33838 41089 44506 53174 67676 82178 89012 106348 164356 186109 287623 372218 451979 575246 698513 744436 903958 1150492 1397026 1807916 2794052 3163853 4889591 6327706 7683643 9779182 12655412 15367286 19558364 30734572 53785501 107571002 215142004