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1122022220 = 2251143831429
BaseRepresentation
bin100001011100000…
…1011001101001100
32220012021122010112
41002320023031030
54244214202340
6303200455152
736543013544
oct10270131514
92805248115
101122022220
115263969a0
1227391a4b8
1314b5c1697
14a9032324
1568786065
hex42e0b34c

1122022220 has 96 divisors (see below), whose sum is σ = 2663781120. Its totient is φ = 393442560.

The previous prime is 1122022201. The next prime is 1122022229. The reversal of 1122022220 is 222202211.

It is a junction number, because it is equal to n+sod(n) for n = 1122022195 and 1122022204.

It is not an unprimeable number, because it can be changed into a prime (1122022229) 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 31 ways as a sum of consecutive naturals, for example, 784466 + ... + 785894.

It is an arithmetic number, because the mean of its divisors is an integer number (27747720).

Almost surely, 21122022220 is an apocalyptic number.

1122022220 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 1122022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331890560).

1122022220 is an abundant number, since it is smaller than the sum of its proper divisors (1541758900).

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

1122022220 is a wasteful number, since it uses less digits than its factorization.

1122022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1122022220 is about 33496.6001259829. The cubic root of 1122022220 is about 1039.1234663284.

Adding to 1122022220 its reverse (222202211), we get a palindrome (1344224431).

Subtracting from 1122022220 its reverse (222202211), we obtain a square (899820009 = 299972).

The spelling of 1122022220 in words is "one billion, one hundred twenty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 83 86 110 166 172 215 220 332 415 430 473 830 860 913 946 1429 1660 1826 1892 2365 2858 3569 3652 4565 4730 5716 7138 7145 9130 9460 14276 14290 15719 17845 18260 28580 31438 35690 39259 61447 62876 71380 78518 78595 118607 122894 157036 157190 196295 237214 245788 307235 314380 392590 474428 593035 614470 675917 785180 1186070 1228940 1304677 1351834 2372140 2609354 2703668 3379585 5100101 5218708 6523385 6759170 10200202 13046770 13518340 20400404 25500505 26093540 51001010 56101111 102002020 112202222 224404444 280505555 561011110 1122022220