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1222104320 = 28519311621
BaseRepresentation
bin100100011010111…
…1101010100000000
310011011121022221222
41020311331110000
510000324314240
6321133534212
742166500233
oct11065752400
93134538858
101222104320
11577934078
122a1344368
13166263668
14b844541a
1572454eb5
hex48d7d500

1222104320 has 144 divisors (see below), whose sum is σ = 3182753280. Its totient is φ = 447897600.

The previous prime is 1222104307. The next prime is 1222104329. The reversal of 1222104320 is 234012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222104329) 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 15 ways as a sum of consecutive naturals, for example, 753110 + ... + 754730.

Almost surely, 21222104320 is an apocalyptic number.

1222104320 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 1222104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591376640).

1222104320 is an abundant number, since it is smaller than the sum of its proper divisors (1960648960).

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

1222104320 is a wasteful number, since it uses less digits than its factorization.

1222104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1222104320 is about 34958.6086679662. The cubic root of 1222104320 is about 1069.1437293089.

Adding to 1222104320 its reverse (234012221), we get a palindrome (1456116541).

The spelling of 1222104320 in words is "one billion, two hundred twenty-two million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 128 152 155 160 190 248 256 304 310 320 380 496 589 608 620 640 760 992 1178 1216 1240 1280 1520 1621 1984 2356 2432 2480 2945 3040 3242 3968 4712 4864 4960 5890 6080 6484 7936 8105 9424 9920 11780 12160 12968 16210 18848 19840 23560 24320 25936 30799 32420 37696 39680 47120 50251 51872 61598 64840 75392 94240 100502 103744 123196 129680 150784 153995 188480 201004 207488 246392 251255 259360 307990 376960 402008 414976 492784 502510 518720 615980 753920 804016 954769 985568 1005020 1037440 1231960 1608032 1909538 1971136 2010040 2074880 2463920 3216064 3819076 3942272 4020080 4773845 4927840 6432128 7638152 7884544 8040160 9547690 9855680 12864256 15276304 16080320 19095380 19711360 30552608 32160640 38190760 39422720 61105216 64321280 76381520 122210432 152763040 244420864 305526080 611052160 1222104320