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1223420224 = 26135924923
BaseRepresentation
bin100100011101011…
…1110100101000000
310011021002012001011
41020322332211000
510001143421344
6321222050304
742213620545
oct11072764500
93137065034
101223420224
115786527a4
122a1879994
131666045c0
14b86a8bcc
1572614d34
hex48ebe940

1223420224 has 56 divisors (see below), whose sum is σ = 2658892320. Its totient is φ = 555062784.

The previous prime is 1223420183. The next prime is 1223420243. The reversal of 1223420224 is 4220243221.

It is a junction number, because it is equal to n+sod(n) for n = 1223420195 and 1223420204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36627 + ... + 61549.

It is an arithmetic number, because the mean of its divisors is an integer number (47480220).

Almost surely, 21223420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329446160).

1223420224 is an abundant number, since it is smaller than the sum of its proper divisors (1435472096).

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

1223420224 is a wasteful number, since it uses less digits than its factorization.

1223420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25007 (or 24997 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1223420224 is about 34977.4244906625. The cubic root of 1223420224 is about 1069.5273260912.

Adding to 1223420224 its reverse (4220243221), we get a palindrome (5443663445).

The spelling of 1223420224 in words is "one billion, two hundred twenty-three million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 208 236 416 472 767 832 944 1534 1888 3068 3776 6136 12272 24544 24923 49088 49846 99692 199384 323999 398768 647998 797536 1295996 1470457 1595072 2591992 2940914 5183984 5881828 10367968 11763656 19115941 20735936 23527312 38231882 47054624 76463764 94109248 152927528 305855056 611710112 1223420224