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1228254144 = 26313237853
BaseRepresentation
bin100100100110101…
…1010101111000000
310011121011202221020
41021031122233000
510003413113034
6321513425440
742302662605
oct11115325700
93147152836
101228254144
11580354577
122a340b280
13167607900
14b91a66ac
1572c6c249
hex4935abc0

1228254144 has 84 divisors (see below), whose sum is σ = 3519059256. Its totient is φ = 377914368.

The previous prime is 1228254121. The next prime is 1228254151. The reversal of 1228254144 is 4414528221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13522 + ... + 51374.

Almost surely, 21228254144 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 1228254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759529628).

1228254144 is an abundant number, since it is smaller than the sum of its proper divisors (2290805112).

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

1228254144 is a wasteful number, since it uses less digits than its factorization.

1228254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37894 (or 37871 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 1228254144 is about 35046.4569393256. The cubic root of 1228254144 is about 1070.9340968182.

The spelling of 1228254144 in words is "one billion, two hundred twenty-eight million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 32448 37853 75706 113559 151412 227118 302824 454236 492089 605648 908472 984178 1211296 1476267 1816944 1968356 2422592 2952534 3633888 3936712 5905068 6397157 7267776 7873424 11810136 12794314 15746848 19191471 23620272 25588628 31493696 38382942 47240544 51177256 76765884 94481088 102354512 153531768 204709024 307063536 409418048 614127072 1228254144