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1222214320 = 245174719121
BaseRepresentation
bin100100011011001…
…1000001010110000
310011011210220212001
41020312120022300
510000341324240
6321140143344
742200436025
oct11066301260
93134726761
101222214320
115779a9788
122a1397b54
131662a1752
14b847354c
157247789a
hex48d982b0

1222214320 has 80 divisors (see below), whose sum is σ = 3072981888. Its totient is φ = 450314240.

The previous prime is 1222214317. The next prime is 1222214333. The reversal of 1222214320 is 234122221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54360 + ... + 73480.

Almost surely, 21222214320 is an apocalyptic number.

1222214320 is a gapful number since it is divisible by the number (10) 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 1222214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536490944).

1222214320 is an abundant number, since it is smaller than the sum of its proper divisors (1850767568).

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

1222214320 is a wasteful number, since it uses less digits than its factorization.

1222214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19198 (or 19192 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1222214320 is about 34960.1819217235. The cubic root of 1222214320 is about 1069.1758057528.

Adding to 1222214320 its reverse (234122221), we get a palindrome (1456336541).

The spelling of 1222214320 in words is "one billion, two hundred twenty-two million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 136 170 188 235 272 340 376 470 680 752 799 940 1360 1598 1880 3196 3760 3995 6392 7990 12784 15980 19121 31960 38242 63920 76484 95605 152968 191210 305936 325057 382420 650114 764840 898687 1300228 1529680 1625285 1797374 2600456 3250570 3594748 4493435 5200912 6501140 7189496 8986870 13002280 14378992 15277679 17973740 26004560 30555358 35947480 61110716 71894960 76388395 122221432 152776790 244442864 305553580 611107160 1222214320