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219680692 = 22711372521
BaseRepresentation
bin11010001100000…
…00111110110100
3120022100221020221
431012000332310
5422214240232
633444304124
75305153330
oct1506007664
9508327227
10219680692
111030053a0
12616a2044
133668829a
14212667c0
1514445897
hexd180fb4

219680692 has 72 divisors (see below), whose sum is σ = 493553088. Its totient is φ = 83116800.

The previous prime is 219680627. The next prime is 219680693. The reversal of 219680692 is 296086912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219680693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421392 + ... + 421912.

It is an arithmetic number, because the mean of its divisors is an integer number (6854904).

Almost surely, 2219680692 is an apocalyptic number.

219680692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219680692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246776544).

219680692 is an abundant number, since it is smaller than the sum of its proper divisors (273872396).

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

219680692 is a wasteful number, since it uses less digits than its factorization.

219680692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 219680692 is about 14821.6291951998. The cubic root of 219680692 is about 603.3888713632.

The spelling of 219680692 in words is "two hundred nineteen million, six hundred eighty thousand, six hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 521 814 1036 1042 1369 1628 2084 2738 2849 3647 5476 5698 5731 7294 9583 11396 11462 14588 15059 19166 19277 22924 30118 38332 38554 40117 60236 77108 80234 105413 134939 160468 210826 212047 269878 421652 424094 539756 713249 848188 1426498 1484329 2852996 2968658 4992743 5937316 7845739 9985486 15691478 19970972 31382956 54920173 109840346 219680692