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7221411104 = 252912896037
BaseRepresentation
bin1101011100110110…
…11111110100100000
3200122021100200201112
412232123133310200
5104242140123404
63152323522452
7343644660455
oct65633376440
920567320645
107221411104
113076331056
121496529428
138b1148a2b
144c711382c
152c3ea256e
hex1ae6dfd20

7221411104 has 48 divisors (see below), whose sum is σ = 14721247800. Its totient is φ = 3482916864.

The previous prime is 7221411103. The next prime is 7221411107. The reversal of 7221411104 is 4011141227.

It can be written as a sum of positive squares in 4 ways, for example, as 6249218704 + 972192400 = 79052^2 + 31180^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7221411104.

It is not an unprimeable number, because it can be changed into a prime (7221411103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1193174 + ... + 1199210.

Almost surely, 27221411104 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 7221411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360623900).

7221411104 is an abundant number, since it is smaller than the sum of its proper divisors (7499836696).

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

7221411104 is a wasteful number, since it uses less digits than its factorization.

7221411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 7221411104 is about 84978.8862247559. The cubic root of 7221411104 is about 1932.8909669890.

The spelling of 7221411104 in words is "seven billion, two hundred twenty-one million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1289 2578 5156 6037 10312 12074 20624 24148 37381 41248 48296 74762 96592 149524 175073 193184 299048 350146 598096 700292 1196192 1400584 2801168 5602336 7781693 15563386 31126772 62253544 124507088 225669097 249014176 451338194 902676388 1805352776 3610705552 7221411104