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1228064640 = 27351158147
BaseRepresentation
bin100100100110010…
…1100011110000000
310011120211010222120
41021030230132000
510003341032030
6321505404240
742301243245
oct11114543600
93146733876
101228064640
11580235160
122a3339680
1316756c58a
14b91575cc
1572c31010
hex4932c780

1228064640 has 128 divisors (see below), whose sum is σ = 4270389120. Its totient is φ = 297707520.

The previous prime is 1228064611. The next prime is 1228064647. The reversal of 1228064640 is 464608221.

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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228064647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7954 + ... + 50193.

It is an arithmetic number, because the mean of its divisors is an integer number (33362415).

Almost surely, 21228064640 is an apocalyptic number.

1228064640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135194560).

1228064640 is an abundant number, since it is smaller than the sum of its proper divisors (3042324480).

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

1228064640 is a wasteful number, since it uses less digits than its factorization.

1228064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58180 (or 58168 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1228064640 is about 35043.7532236489. The cubic root of 1228064640 is about 1070.8790168132.

The spelling of 1228064640 in words is "one billion, two hundred twenty-eight million, sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 58147 116294 174441 232588 290735 348882 465176 581470 639617 697764 872205 930352 1162940 1279234 1395528 1744410 1860704 1918851 2325880 2558468 2791056 3198085 3488820 3721408 3837702 4651760 5116936 5582112 6396170 6977640 7442816 7675404 9303520 9594255 10233872 11164224 12792340 13955280 15350808 18607040 19188510 20467744 22328448 25584680 27910560 30701616 37214080 38377020 40935488 51169360 55821120 61403232 76754040 81870976 102338720 111642240 122806464 153508080 204677440 245612928 307016160 409354880 614032320 1228064640