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1222103040 = 2123519891
BaseRepresentation
bin100100011010111…
…1101000000000000
310011011121021012120
41020311331000000
510000324244130
6321133524240
742166463424
oct11065750000
93134537176
101222103040
11577933114
122a1343680
13166262bc2
14b8444b84
1572454910
hex48d7d000

1222103040 has 104 divisors (see below), whose sum is σ = 3910448928. Its totient is φ = 325877760.

The previous prime is 1222103011. The next prime is 1222103053. The reversal of 1222103040 is 403012221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 51495 + ... + 71385.

Almost surely, 21222103040 is an apocalyptic number.

1222103040 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 1222103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955224464).

1222103040 is an abundant number, since it is smaller than the sum of its proper divisors (2688345888).

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

1222103040 is an equidigital number, since it uses as much as digits as its factorization.

1222103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19923 (or 19901 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1222103040 is about 34958.5903605966. The cubic root of 1222103040 is about 1069.1433560445.

Adding to 1222103040 its reverse (403012221), we get a palindrome (1625115261).

It can be divided in two parts, 122210 and 3040, that added together give a triangular number (125250 = T500).

The spelling of 1222103040 in words is "one billion, two hundred twenty-two million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 19891 20480 30720 39782 59673 61440 79564 99455 119346 159128 198910 238692 298365 318256 397820 477384 596730 636512 795640 954768 1193460 1273024 1591280 1909536 2386920 2546048 3182560 3819072 4773840 5092096 6365120 7638144 9547680 10184192 12730240 15276288 19095360 20368384 25460480 30552576 38190720 40736768 50920960 61105152 76381440 81473536 101841920 122210304 152762880 203683840 244420608 305525760 407367680 611051520 1222103040