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1224211104 = 25332948859
BaseRepresentation
bin100100011110111…
…1111101010100000
310011022120100221000
41020331333222200
510001344223404
6321251032000
742223423404
oct11075775240
93138510830
101224211104
11579042a16
122a1b9b600
1316682058c
14b8833104
157271e339
hex48f7faa0

1224211104 has 96 divisors (see below), whose sum is σ = 3693816000. Its totient is φ = 393990912.

The previous prime is 1224211067. The next prime is 1224211127. The reversal of 1224211104 is 4011124221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627 + ... + 49485.

It is an arithmetic number, because the mean of its divisors is an integer number (38477250).

Almost surely, 21224211104 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 1224211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846908000).

1224211104 is an abundant number, since it is smaller than the sum of its proper divisors (2469604896).

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

1224211104 is a wasteful number, since it uses less digits than its factorization.

1224211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48907 (or 48893 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1224211104 is about 34988.7282421068. The cubic root of 1224211104 is about 1069.7577417598.

Adding to 1224211104 its reverse (4011124221), we get a palindrome (5235335325).

The spelling of 1224211104 in words is "one billion, two hundred twenty-four million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 48859 97718 146577 195436 293154 390872 439731 586308 781744 879462 1172616 1319193 1416911 1563488 1758924 2345232 2638386 2833822 3517848 4250733 4690464 5276772 5667644 7035696 8501466 10553544 11335288 12752199 14071392 17002932 21107088 22670576 25504398 34005864 38256597 42214176 45341152 51008796 68011728 76513194 102017592 136023456 153026388 204035184 306052776 408070368 612105552 1224211104