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1223015640 = 2335711132361
BaseRepresentation
bin100100011100101…
…1011110011011000
310011020022122001120
41020321123303120
510001043000030
6321205245240
742210314160
oct11071336330
93136278046
101223015640
115783a6830
122a1703820
131664c23c2
14b86015a0
1572585010
hex48e5bcd8

1223015640 has 128 divisors (see below), whose sum is σ = 4574430720. Its totient is φ = 254131200.

The previous prime is 1223015603. The next prime is 1223015641. The reversal of 1223015640 is 465103221.

1223015640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1223015640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223015641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56941 + ... + 75420.

It is an arithmetic number, because the mean of its divisors is an integer number (35737740).

Almost surely, 21223015640 is an apocalyptic number.

1223015640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223015640 is an abundant number, since it is smaller than the sum of its proper divisors (3351415080).

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

1223015640 is a wasteful number, since it uses less digits than its factorization.

1223015640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132393 (or 132389 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1223015640 is about 34971.6405105623. The cubic root of 1223015640 is about 1069.4094158416.

Adding to 1223015640 its reverse (465103221), we get a palindrome (1688118861).

The spelling of 1223015640 in words is "one billion, two hundred twenty-three million, fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 132361 264722 397083 529444 661805 794166 926527 1058888 1323610 1455971 1588332 1853054 1985415 2647220 2779581 2911942 3176664 3706108 3970830 4367913 4632635 5294440 5559162 5823884 7279855 7412216 7941660 8735826 9265270 10191797 11118324 11647768 13897905 14559710 15883320 17471652 18530540 20383594 21839565 22236648 27795810 29119420 30575391 34943304 37061080 40767188 43679130 50958985 55591620 58238840 61150782 81534376 87358260 101917970 111183240 122301564 152876955 174716520 203835940 244603128 305753910 407671880 611507820 1223015640