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1224411104 = 25737241613
BaseRepresentation
bin100100011111011…
…0000011111100000
310011022221112021102
41020332300133200
510001422123404
6321255213532
742225215450
oct11076603740
93138845242
101224411104
1157916a204
122a20772a8
13166890617
14b8885d60
157275d71e
hex48fb07e0

1224411104 has 96 divisors (see below), whose sum is σ = 2845757376. Its totient is φ = 507617280.

The previous prime is 1224411079. The next prime is 1224411121. The reversal of 1224411104 is 4011144221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1997102 + ... + 1997714.

It is an arithmetic number, because the mean of its divisors is an integer number (29643306).

Almost surely, 21224411104 is an apocalyptic number.

1224411104 is a gapful number since it is divisible by the number (14) 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 1224411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422878688).

1224411104 is an abundant number, since it is smaller than the sum of its proper divisors (1621346272).

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

1224411104 is a wasteful number, since it uses less digits than its factorization.

1224411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1224411104 is about 34991.5861886826. The cubic root of 1224411104 is about 1069.8159942125.

Adding to 1224411104 its reverse (4011144221), we get a palindrome (5235555325).

The spelling of 1224411104 in words is "one billion, two hundred twenty-four million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 241 259 296 482 518 592 613 964 1036 1184 1226 1687 1928 2072 2452 3374 3856 4144 4291 4904 6748 7712 8288 8582 8917 9808 13496 17164 17834 19616 22681 26992 34328 35668 45362 53984 62419 68656 71336 90724 124838 137312 142672 147733 158767 181448 249676 285344 295466 317534 362896 499352 590932 635068 725792 998704 1034131 1181864 1270136 1997408 2068262 2363728 2540272 4136524 4727456 5080544 5466121 8273048 10932242 16546096 21864484 33092192 38262847 43728968 76525694 87457936 153051388 174915872 306102776 612205552 1224411104