Search a number
-
+
1222023040 = 2757416653
BaseRepresentation
bin100100011010110…
…1001011110000000
310011011110012110121
41020311221132000
510000314214130
6321132110024
742166011250
oct11065513600
93134405417
101222023040
11577888aa7
122a1305314
13166235674
14b8423960
157243ad7a
hex48d69780

1222023040 has 128 divisors (see below), whose sum is σ = 3420688320. Its totient is φ = 408698880.

The previous prime is 1222023029. The next prime is 1222023043. The reversal of 1222023040 is 403202221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222023043) 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, 180354 + ... + 187006.

Almost surely, 21222023040 is an apocalyptic number.

1222023040 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 1222023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710344160).

1222023040 is an abundant number, since it is smaller than the sum of its proper divisors (2198665280).

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

1222023040 is an equidigital number, since it uses as much as digits as its factorization.

1222023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6720 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1222023040 is about 34957.4461309747. The cubic root of 1222023040 is about 1069.1200264964.

Adding to 1222023040 its reverse (403202221), we get a palindrome (1625225261).

The spelling of 1222023040 in words is "one billion, two hundred twenty-two million, twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 205 224 280 287 320 328 410 448 560 574 640 656 820 896 1120 1148 1312 1435 1640 2240 2296 2624 2870 3280 4480 4592 5248 5740 6560 6653 9184 11480 13120 13306 18368 22960 26240 26612 33265 36736 45920 46571 53224 66530 91840 93142 106448 133060 183680 186284 212896 232855 266120 272773 372568 425792 465710 532240 545546 745136 851584 931420 1064480 1091092 1363865 1490272 1862840 1909411 2128960 2182184 2727730 2980544 3725680 3818822 4257920 4364368 5455460 5961088 7451360 7637644 8728736 9547055 10910920 14902720 15275288 17457472 19094110 21821840 29805440 30550576 34914944 38188220 43643680 61101152 76376440 87287360 122202304 152752880 174574720 244404608 305505760 611011520 1222023040