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1384228224 = 2733419769
BaseRepresentation
bin101001010000001…
…1010010110000000
310120110200002011000
41102200122112000
510313330300344
6345204452000
746205513541
oct12240322600
93513602130
101384228224
116503a7175
123276aa000
13190a18a72
14d1ba84c8
15817cba69
hex5281a580

1384228224 has 128 divisors (see below), whose sum is σ = 4185468000. Its totient is φ = 450109440.

The previous prime is 1384228217. The next prime is 1384228229. The reversal of 1384228224 is 4228224831.

1384228224 is a `hidden beast` number, since 1 + 3 + 8 + 422 + 8 + 224 = 666.

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

It is a super-2 number, since 2×13842282242 = 3832175552236388352, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384228229) 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, 136812 + ... + 146580.

Almost surely, 21384228224 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 1384228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092734000).

1384228224 is an abundant number, since it is smaller than the sum of its proper divisors (2801239776).

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

1384228224 is an equidigital number, since it uses as much as digits as its factorization.

1384228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9833 (or 9815 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 1384228224 is about 37205.2176985971. The cubic root of 1384228224 is about 1114.4721838401.

The spelling of 1384228224 in words is "one billion, three hundred eighty-four million, two hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 288 328 369 384 432 492 576 656 738 864 984 1107 1152 1312 1476 1728 1968 2214 2624 2952 3456 3936 4428 5248 5904 7872 8856 9769 11808 15744 17712 19538 23616 29307 35424 39076 47232 58614 70848 78152 87921 117228 141696 156304 175842 234456 263763 312608 351684 400529 468912 527526 625216 703368 801058 937824 1055052 1201587 1250432 1406736 1602116 1875648 2110104 2403174 2813472 3204232 3604761 3751296 4220208 4806348 5626944 6408464 7209522 8440416 9612696 10814283 11253888 12816928 14419044 16880832 19225392 21628566 25633856 28838088 33761664 38450784 43257132 51267712 57676176 76901568 86514264 115352352 153803136 173028528 230704704 346057056 461409408 692114112 1384228224