Search a number
-
+
1223311040 = 26577392
BaseRepresentation
bin100100011101010…
…0011111011000000
310011020212122021022
41020322203323000
510001131423130
6321215445012
742212654330
oct11072437300
93136778238
101223311040
11578588766
122a1826768
131665969b3
14b867b0c0
15725e27e5
hex48ea3ec0

1223311040 has 84 divisors (see below), whose sum is σ = 3333664656. Its totient is φ = 418853376.

The previous prime is 1223311013. The next prime is 1223311049. The reversal of 1223311040 is 401133221.

It is not an unprimeable number, because it can be changed into a prime (1223311049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1654991 + ... + 1655729.

It is an arithmetic number, because the mean of its divisors is an integer number (39686484).

Almost surely, 21223311040 is an apocalyptic number.

1223311040 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 1223311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666832328).

1223311040 is an abundant number, since it is smaller than the sum of its proper divisors (2110353616).

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

1223311040 is an frugal number, since it uses more digits than its factorization.

1223311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1223311040 is about 34975.8636776849. The cubic root of 1223311040 is about 1069.4955085294.

Adding to 1223311040 its reverse (401133221), we get a palindrome (1624444261).

The spelling of 1223311040 in words is "one billion, two hundred twenty-three million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 739 1120 1478 2240 2956 3695 5173 5912 7390 10346 11824 14780 20692 23648 25865 29560 41384 47296 51730 59120 82768 103460 118240 165536 206920 236480 331072 413840 546121 827680 1092242 1655360 2184484 2730605 3822847 4368968 5461210 7645694 8737936 10922420 15291388 17475872 19114235 21844840 30582776 34951744 38228470 43689680 61165552 76456940 87379360 122331104 152913880 174758720 244662208 305827760 611655520 1223311040