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221102240 = 25519257283
BaseRepresentation
bin11010010110111…
…00000010100000
3120102001011020212
431023130002200
5423100232430
633534553252
75323223642
oct1513340240
9512034225
10221102240
11103896427
1262068828
1336a65338
1421516892
1514626b95
hexd2dc0a0

221102240 has 96 divisors (see below), whose sum is σ = 553936320. Its totient is φ = 83165184.

The previous prime is 221102227. The next prime is 221102251. The reversal of 221102240 is 42201122.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 781139 + ... + 781421.

It is an arithmetic number, because the mean of its divisors is an integer number (5770170).

Almost surely, 2221102240 is an apocalyptic number.

221102240 is a gapful number since it is divisible by the number (20) 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 221102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276968160).

221102240 is an abundant number, since it is smaller than the sum of its proper divisors (332834080).

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

221102240 is a wasteful number, since it uses less digits than its factorization.

221102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221102240 is about 14869.5070530263. The cubic root of 221102240 is about 604.6875786021.

Adding to 221102240 its reverse (42201122), we get a palindrome (263303362).

The spelling of 221102240 in words is "two hundred twenty-one million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 257 283 304 380 514 566 608 760 1028 1132 1285 1415 1520 2056 2264 2570 2830 3040 4112 4528 4883 5140 5377 5660 8224 9056 9766 10280 10754 11320 19532 20560 21508 22640 24415 26885 39064 41120 43016 45280 48830 53770 72731 78128 86032 97660 107540 145462 156256 172064 195320 215080 290924 363655 390640 430160 581848 727310 781280 860320 1163696 1381889 1454620 2327392 2763778 2909240 5527556 5818480 6909445 11055112 11636960 13818890 22110224 27637780 44220448 55275560 110551120 221102240