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2124223220 = 2257432571373
BaseRepresentation
bin111111010011101…
…0001001011110100
312111001002201110002
41332213101023310
513322300120340
6550441250432
7103432412420
oct17647211364
95431081402
102124223220
119a0083389
124b3493a18
1327b11c622
14162193b80
15c674e715
hex7e9d12f4

2124223220 has 96 divisors (see below), whose sum is σ = 5240809728. Its totient is φ = 708083712.

The previous prime is 2124223217. The next prime is 2124223247. The reversal of 2124223220 is 223224212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2124223192 and 2124223201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546454 + ... + 1547826.

It is an arithmetic number, because the mean of its divisors is an integer number (54591768).

Almost surely, 22124223220 is an apocalyptic number.

2124223220 is a gapful number since it is divisible by the number (20) 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 2124223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620404864).

2124223220 is an abundant number, since it is smaller than the sum of its proper divisors (3116586508).

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

2124223220 is a wasteful number, since it uses less digits than its factorization.

2124223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2124223220 is about 46089.2961543133. The cubic root of 2124223220 is about 1285.4841236795.

Adding to 2124223220 its reverse (223224212), we get a palindrome (2347447432).

The spelling of 2124223220 in words is "two billion, one hundred twenty-four million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 257 301 430 514 602 860 1028 1204 1285 1373 1505 1799 2570 2746 3010 3598 5140 5492 6020 6865 7196 8995 9611 11051 13730 17990 19222 22102 27460 35980 38444 44204 48055 55255 59039 77357 96110 110510 118078 154714 192220 221020 236156 295195 309428 352861 386785 413273 590390 705722 773570 826546 1180780 1411444 1547140 1653092 1764305 2066365 2470027 3528610 4132730 4940054 7057220 8265460 9880108 12350135 15173023 24700270 30346046 49400540 60692092 75865115 106211161 151730230 212422322 303460460 424844644 531055805 1062111610 2124223220