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219943230 = 235135471031
BaseRepresentation
bin11010001110000…
…01000100111110
3120022212021101120
431013001010332
5422301140410
633454051410
75310325623
oct1507010476
9508767346
10219943230
11103174671
12617a9b66
133674a930
14212d434a
1514498570
hexd1c113e

219943230 has 64 divisors (see below), whose sum is σ = 570060288. Its totient is φ = 53988480.

The previous prime is 219943223. The next prime is 219943231. The reversal of 219943230 is 32349912.

It is a junction number, because it is equal to n+sod(n) for n = 219943191 and 219943200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219943231) 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 31 ways as a sum of consecutive naturals, for example, 212815 + ... + 213845.

It is an arithmetic number, because the mean of its divisors is an integer number (8907192).

Almost surely, 2219943230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219943230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285030144).

219943230 is an abundant number, since it is smaller than the sum of its proper divisors (350117058).

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

219943230 is a wasteful number, since it uses less digits than its factorization.

219943230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 219943230 is about 14830.4831344093. The cubic root of 219943230 is about 603.6291434937.

The spelling of 219943230 in words is "two hundred nineteen million, nine hundred forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 547 1031 1094 1641 2062 2735 3093 3282 5155 5470 6186 7111 8205 10310 13403 14222 15465 16410 21333 26806 30930 35555 40209 42666 67015 71110 80418 106665 134030 201045 213330 402090 563957 1127914 1691871 2819785 3383742 5639570 7331441 8459355 14662882 16918710 21994323 36657205 43988646 73314410 109971615 219943230