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1122250000 = 2456672
BaseRepresentation
bin100001011100100…
…0010110100010000
32220012201012120211
41002321002310100
54244244000000
6303205413504
736544652614
oct10271026420
92805635524
101122250000
11526532043
12273a0a294
1314b671271
14a9091344
15687cd7ba
hex42e42d10

1122250000 has 105 divisors (see below), whose sum is σ = 2759085777. Its totient is φ = 442200000.

The previous prime is 1122249979. The next prime is 1122250009. The reversal of 1122250000 is 522211.

The square root of 1122250000 is 33500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 983198736 + 139051264 = 31356^2 + 11792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1122250009) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 16749967 + ... + 16750033.

Almost surely, 21122250000 is an apocalyptic number.

1122250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1122250000 is the 33500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122250000

1122250000 is an abundant number, since it is smaller than the sum of its proper divisors (1636835777).

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

1122250000 is an frugal number, since it uses more digits than its factorization.

1122250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The cubic root of 1122250000 is about 1039.1937785212.

Adding to 1122250000 its reverse (522211), we get a palindrome (1122772211).

The spelling of 1122250000 in words is "one billion, one hundred twenty-two million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 625 670 1000 1072 1250 1340 1675 2000 2500 2680 3125 3350 4489 5000 5360 6250 6700 8375 8978 10000 12500 13400 15625 16750 17956 22445 25000 26800 31250 33500 35912 41875 44890 50000 62500 67000 71824 83750 89780 112225 125000 134000 167500 179560 209375 224450 250000 335000 359120 418750 448900 561125 670000 837500 897800 1046875 1122250 1675000 1795600 2093750 2244500 2805625 3350000 4187500 4489000 5611250 8375000 8978000 11222500 14028125 16750000 22445000 28056250 44890000 56112500 70140625 112225000 140281250 224450000 280562500 561125000 1122250000