Search a number
-
+
1223100020 = 225172613469
BaseRepresentation
bin100100011100111…
…0000011001110100
310011020110220210202
41020321300121310
510001103200040
6321211140032
742211115162
oct11071603164
93136426722
101223100020
1157845416a
122a1744618
1316652192c
14b8624232
15725a0015
hex48e70674

1223100020 has 72 divisors (see below), whose sum is σ = 2774015160. Its totient is φ = 452782080.

The previous prime is 1223100017. The next prime is 1223100077. The reversal of 1223100020 is 200013221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 603488356 + 619611664 = 24566^2 + 24892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1223099974 and 1223100010.

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, 350846 + ... + 354314.

Almost surely, 21223100020 is an apocalyptic number.

1223100020 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 1223100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387007580).

1223100020 is an abundant number, since it is smaller than the sum of its proper divisors (1550915140).

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

1223100020 is a wasteful number, since it uses less digits than its factorization.

1223100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1223100020 is about 34972.8468958419. The cubic root of 1223100020 is about 1069.4340093378.

Adding to 1223100020 its reverse (200013221), we get a palindrome (1423113241).

The spelling of 1223100020 in words is "one billion, two hundred twenty-three million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 289 305 340 578 610 1037 1156 1220 1445 2074 2890 3469 4148 5185 5780 6938 10370 13876 17345 17629 20740 34690 35258 58973 69380 70516 88145 117946 176290 211609 235892 294865 352580 423218 589730 846436 1002541 1058045 1179460 2005082 2116090 3597353 4010164 4232180 5012705 7194706 10025410 14389412 17986765 20050820 35973530 61155001 71947060 122310002 244620004 305775005 611550010 1223100020