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1228526064 = 2432711071123
BaseRepresentation
bin100100100111001…
…1101000111110000
310011121200120221100
41021032131013300
510004000313224
6321523324400
742305204433
oct11116350760
93147616840
101228526064
1158051a8a7
122a3520700
131676a15cc
14b923781a
1572cc2ac9
hex4939d1f0

1228526064 has 120 divisors (see below), whose sum is σ = 3522310272. Its totient is φ = 399611520.

The previous prime is 1228526053. The next prime is 1228526069. The reversal of 1228526064 is 4606258221.

It is a happy number.

1228526064 is a `hidden beast` number, since 122 + 8 + 526 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228526069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1093407 + ... + 1094529.

Almost surely, 21228526064 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 1228526064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761155136).

1228526064 is an abundant number, since it is smaller than the sum of its proper divisors (2293784208).

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

1228526064 is a wasteful number, since it uses less digits than its factorization.

1228526064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1228526064 is about 35050.3361467476. The cubic root of 1228526064 is about 1071.0131214277.

The spelling of 1228526064 in words is "one billion, two hundred twenty-eight million, five hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 107 142 144 213 214 284 321 426 428 568 639 642 852 856 963 1123 1136 1278 1284 1704 1712 1926 2246 2556 2568 3369 3408 3852 4492 5112 5136 6738 7597 7704 8984 10107 10224 13476 15194 15408 17968 20214 22791 26952 30388 40428 45582 53904 60776 68373 79733 80856 91164 120161 121552 136746 159466 161712 182328 239199 240322 273492 318932 360483 364656 478398 480644 546984 637864 717597 720966 956796 961288 1081449 1093968 1275728 1435194 1441932 1913592 1922576 2162898 2870388 2883864 3827184 4325796 5740776 5767728 8531431 8651592 11481552 17062862 17303184 25594293 34125724 51188586 68251448 76782879 102377172 136502896 153565758 204754344 307131516 409508688 614263032 1228526064