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1222468464 = 24373411811
BaseRepresentation
bin100100011011101…
…0110001101110000
310011012021211110210
41020313112031300
510000422442324
6321145424120
742202545000
oct11067261560
93135254423
101222468464
11578062718
122a149b040
13166360329
14b84dc000
15724c7d29
hex48dd6370

1222468464 has 160 divisors (see below), whose sum is σ = 3774758400. Its totient is φ = 340569600.

The previous prime is 1222468427. The next prime is 1222468483. The reversal of 1222468464 is 4648642221.

It is a nude number because it is divisible by every one of its digits.

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, 674119 + ... + 675929.

It is an arithmetic number, because the mean of its divisors is an integer number (23592240).

Almost surely, 21222468464 is an apocalyptic number.

1222468464 is a gapful number since it is divisible by the number (14) 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 1222468464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887379200).

1222468464 is an abundant number, since it is smaller than the sum of its proper divisors (2552289936).

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

1222468464 is a wasteful number, since it uses less digits than its factorization.

1222468464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1864 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 1222468464 is about 34963.8164964868. The cubic root of 1222468464 is about 1069.2499078094.

The spelling of 1222468464 in words is "one billion, two hundred twenty-two million, four hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 49 56 82 84 98 112 123 147 164 168 196 246 287 294 328 336 343 392 492 574 588 656 686 784 861 984 1029 1148 1176 1372 1722 1811 1968 2009 2058 2296 2352 2744 3444 3622 4018 4116 4592 5433 5488 6027 6888 7244 8036 8232 10866 12054 12677 13776 14063 14488 16072 16464 21732 24108 25354 28126 28976 32144 38031 42189 43464 48216 50708 56252 74251 76062 84378 86928 88739 96432 101416 112504 148502 152124 168756 177478 202832 222753 225008 266217 297004 304248 337512 354956 445506 519757 532434 594008 608496 621173 675024 709912 891012 1039514 1064868 1188016 1242346 1419824 1559271 1782024 1863519 2079028 2129736 2484692 3118542 3564048 3638299 3727038 4158056 4259472 4969384 6237084 7276598 7454076 8316112 9938768 10914897 12474168 14553196 14908152 21829794 24948336 25468093 29106392 29816304 43659588 50936186 58212784 76404279 87319176 101872372 152808558 174638352 203744744 305617116 407489488 611234232 1222468464