Search a number
-
+
219850661382 = 231117541362191
BaseRepresentation
bin1100110011000000011…
…1101101111000000110
3210000110202210202200020
43030300013231320012
512100223232131012
6244555322400010
721612050534232
oct3146007557006
9700422722606
10219850661382
1185268a6a980
1236737660006
1317968a99c61
14a8d86115c2
155abb041a8c
hex33301ede06

219850661382 has 64 divisors (see below), whose sum is σ = 508830501888. Its totient is φ = 62586432000.

The previous prime is 219850661377. The next prime is 219850661449. The reversal of 219850661382 is 283166058912.

It is a super-2 number, since 2×2198506613822 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425907 + ... + 788097.

It is an arithmetic number, because the mean of its divisors is an integer number (7950476592).

Almost surely, 2219850661382 is an apocalyptic number.

219850661382 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 219850661382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254415250944).

219850661382 is an abundant number, since it is smaller than the sum of its proper divisors (288979840506).

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

219850661382 is a wasteful number, since it uses less digits than its factorization.

219850661382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362765.

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 219850661382 in words is "two hundred nineteen billion, eight hundred fifty million, six hundred sixty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 541 561 1082 1122 1623 3246 5951 9197 11902 17853 18394 27591 35706 55182 101167 202334 303501 362191 607002 724382 1086573 2173146 3984101 6157247 7968202 11952303 12314494 18471741 23904606 36943482 67729717 135459434 195945331 203189151 391890662 406378302 587835993 1175671986 2155398641 3331070627 4310797282 6466195923 6662141254 9993211881 12932391846 19986423762 36641776897 73283553794 109925330691 219850661382