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2230413888 = 263113223461
BaseRepresentation
bin1000010011110001…
…0110101001000000
312202102220202122210
42010330112221000
514031441221023
61005153302120
7106162130253
oct20474265100
95672822583
102230413888
11a45012a6a
12522b64940
1329711cb41
1417231709a
15d0c28593
hex84f16a40

2230413888 has 112 divisors (see below), whose sum is σ = 5993197056. Its totient is φ = 731996160.

The previous prime is 2230413859. The next prime is 2230413901. The reversal of 2230413888 is 8883140322.

It is a super-2 number, since 2×22304138882 = 9949492223566553088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4837978 + ... + 4838438.

It is an arithmetic number, because the mean of its divisors is an integer number (53510688).

Almost surely, 22230413888 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 2230413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996598528).

2230413888 is an abundant number, since it is smaller than the sum of its proper divisors (3762783168).

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

2230413888 is a wasteful number, since it uses less digits than its factorization.

2230413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2230413888 is about 47227.2578920267. The cubic root of 2230413888 is about 1306.5573785221.

The spelling of 2230413888 in words is "two billion, two hundred thirty million, four hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 223 226 339 446 452 461 669 678 892 904 922 1338 1356 1383 1784 1808 1844 2676 2712 2766 3568 3616 3688 5352 5424 5532 7136 7232 7376 10704 10848 11064 14272 14752 21408 21696 22128 25199 29504 42816 44256 50398 52093 75597 88512 100796 102803 104186 151194 156279 201592 205606 208372 302388 308409 312558 403184 411212 416744 604776 616818 625116 806368 822424 833488 1209552 1233636 1250232 1612736 1644848 1666976 2419104 2467272 2500464 3289696 3333952 4838208 4934544 5000928 6579392 9869088 10001856 11616739 19738176 23233478 34850217 46466956 69700434 92933912 139400868 185867824 278801736 371735648 557603472 743471296 1115206944 2230413888