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219284142 = 237113161251
BaseRepresentation
bin11010001001000…
…00001010101110
3120021121210021220
431010200022232
5422114043032
633432004210
75301612240
oct1504401256
9507553256
10219284142
11102864470
1261530666
133657993c
14211a2090
15143b812c
hexd1202ae

219284142 has 128 divisors (see below), whose sum is σ = 575963136. Its totient is φ = 54000000.

The previous prime is 219284119. The next prime is 219284147. The reversal of 219284142 is 241482912.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219284147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873517 + ... + 873767.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2219284142 is an apocalyptic number.

219284142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 219284142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287981568).

219284142 is an abundant number, since it is smaller than the sum of its proper divisors (356678994).

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

219284142 is a wasteful number, since it uses less digits than its factorization.

219284142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366.

The product of its digits is 9216, while the sum is 33.

The square root of 219284142 is about 14808.2457435039. The cubic root of 219284142 is about 603.0255895897.

The spelling of 219284142 in words is "two hundred nineteen million, two hundred eighty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 61 62 66 77 93 122 154 183 186 217 231 251 341 366 427 434 462 502 651 671 682 753 854 1023 1281 1302 1342 1506 1757 1891 2013 2046 2387 2562 2761 3514 3782 4026 4697 4774 5271 5522 5673 7161 7781 8283 9394 10542 11346 13237 14091 14322 15311 15562 16566 19327 20801 23343 26474 28182 30622 38654 39711 41602 45933 46686 54467 57981 62403 79422 85591 91866 107177 108934 115962 124806 145607 163401 168421 171182 214354 256773 291214 321531 326802 336842 436821 474641 505263 513546 599137 643062 873642 949282 1010526 1178947 1198274 1423923 1797411 2357894 2847846 3322487 3536841 3594822 5221051 6644974 7073682 9967461 10442102 15663153 19934922 31326306 36547357 73094714 109642071 219284142