Search a number
-
+
1228422272 = 27711235419
BaseRepresentation
bin100100100111000…
…0011110010000000
310011121111022120012
41021032003302000
510003434003042
6321521204052
742304263020
oct11116036200
93147438505
101228422272
11580459920
122a3490628
131676662ac
14b920ba80
1572ca1e82
hex49383c80

1228422272 has 128 divisors (see below), whose sum is σ = 3184358400. Its totient is φ = 457712640.

The previous prime is 1228422269. The next prime is 1228422289. The reversal of 1228422272 is 2722248221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223979 + ... + 229397.

It is an arithmetic number, because the mean of its divisors is an integer number (24877800).

Almost surely, 21228422272 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 1228422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592179200).

1228422272 is an abundant number, since it is smaller than the sum of its proper divisors (1955936128).

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

1228422272 is a wasteful number, since it uses less digits than its factorization.

1228422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5462 counting only the distinct ones).

The product of its digits is 14336, while the sum is 32.

The square root of 1228422272 is about 35048.8555019989. The cubic root of 1228422272 is about 1070.9829590709.

The spelling of 1228422272 in words is "one billion, two hundred twenty-eight million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 128 154 161 176 184 224 253 308 322 352 368 448 506 616 644 704 736 896 1012 1232 1288 1408 1472 1771 2024 2464 2576 2944 3542 4048 4928 5152 5419 7084 8096 9856 10304 10838 14168 16192 20608 21676 28336 32384 37933 43352 56672 59609 75866 86704 113344 119218 124637 151732 173408 226688 238436 249274 303464 346816 417263 476872 498548 606928 693632 834526 872459 953744 997096 1213856 1371007 1669052 1744918 1907488 1994192 2427712 2742014 3338104 3489836 3814976 3988384 4855424 5484028 6676208 6979672 7629952 7976768 9597049 10968056 13352416 13959344 15953536 19194098 21936112 26704832 27918688 38388196 43872224 53409664 55837376 76776392 87744448 111674752 153552784 175488896 307105568 614211136 1228422272