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1222002020 = 225316179409
BaseRepresentation
bin100100011010110…
…0100010101100100
310011011102010122002
41020311210111210
510000313031040
6321131424432
742165563051
oct11065442544
93134363562
101222002020
11577874228
122a12b5118
13166228c25
14b841a028
1572434a15
hex48d64564

1222002020 has 96 divisors (see below), whose sum is σ = 2733158400. Its totient is φ = 458265600.

The previous prime is 1222002017. The next prime is 1222002049. The reversal of 1222002020 is 202002221.

It is a junction number, because it is equal to n+sod(n) for n = 1222001992 and 1222002010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2987576 + ... + 2987984.

It is an arithmetic number, because the mean of its divisors is an integer number (28470400).

Almost surely, 21222002020 is an apocalyptic number.

1222002020 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 1222002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366579200).

1222002020 is an abundant number, since it is smaller than the sum of its proper divisors (1511156380).

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

1222002020 is a wasteful number, since it uses less digits than its factorization.

1222002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1222002020 is about 34957.1454784283. The cubic root of 1222002020 is about 1069.1138964887.

Adding to 1222002020 its reverse (202002221), we get a palindrome (1424004241).

The spelling of 1222002020 in words is "one billion, two hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 61 62 79 122 124 155 158 244 305 310 316 395 409 610 620 790 818 1220 1580 1636 1891 2045 2449 3782 4090 4819 4898 7564 8180 9455 9638 9796 12245 12679 18910 19276 24095 24490 24949 25358 32311 37820 48190 48980 49898 50716 63395 64622 96380 99796 124745 126790 129244 149389 161555 249490 253580 298778 323110 498980 597556 646220 746945 773419 1001641 1493890 1546838 1970971 2003282 2987780 3093676 3867095 3941942 4006564 5008205 7734190 7883884 9854855 10016410 15468380 19709710 20032820 39419420 61100101 122200202 244400404 305500505 611001010 1222002020