Search a number
-
+
1222233100400 = 2452132267103681
BaseRepresentation
bin10001110010010010110…
…001010001000001110000
311022211210112012122002102
4101302102301101001300
5130011113133203100
62333253001035532
7154206034636514
oct21622261210160
94284715178072
101222233100400
114313897a3534
12178a63485ba8
138b343813210
1443229226144
1521bd6a10cd5
hex11c92c51070

1222233100400 has 120 divisors (see below), whose sum is σ = 3163718540304. Its totient is φ = 451082649600.

The previous prime is 1222233100397. The next prime is 1222233100411. The reversal of 1222233100400 is 40013322221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11736560 + ... + 11840240.

Almost surely, 21222233100400 is an apocalyptic number.

1222233100400 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 1222233100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581859270152).

1222233100400 is an abundant number, since it is smaller than the sum of its proper divisors (1941485439904).

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

1222233100400 is a wasteful number, since it uses less digits than its factorization.

1222233100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105979 (or 105968 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1222233100400 its reverse (40013322221), we get a palindrome (1262246422621).

The spelling of 1222233100400 in words is "one trillion, two hundred twenty-two billion, two hundred thirty-three million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2267 2600 4534 5200 9068 11335 18136 22670 29471 36272 45340 56675 58942 90680 103681 113350 117884 147355 181360 207362 226700 235768 294710 414724 453400 471536 518405 589420 736775 829448 906800 1036810 1178840 1347853 1473550 1658896 2073620 2357680 2592025 2695706 2947100 4147240 5184050 5391412 5894200 6739265 8294480 10368100 10782824 11788400 13478530 20736200 21565648 26957060 33696325 41472400 53914120 67392650 107828240 134785300 235044827 269570600 470089654 539141200 940179308 1175224135 1880358616 2350448270 3055582751 3760717232 4700896540 5876120675 6111165502 9401793080 11752241350 12222331004 15277913755 18803586160 23504482700 24444662008 30555827510 47008965400 48889324016 61111655020 76389568775 94017930800 122223310040 152779137550 244446620080 305558275100 611116550200 1222233100400