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2233242440 = 23511132913463
BaseRepresentation
bin1000010100011100…
…1001001101001000
312202122020110200222
42011013021031020
514033202224230
61005334045212
7106225150622
oct20507111510
95678213628
102233242440
11a46675110
12523aa9808
132978a0440
14172851c12
15d10d66e5
hex851c9348

2233242440 has 128 divisors (see below), whose sum is σ = 6107270400. Its totient is φ = 723717120.

The previous prime is 2233242421. The next prime is 2233242443. The reversal of 2233242440 is 442423322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2233242443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159149 + ... + 172611.

It is an arithmetic number, because the mean of its divisors is an integer number (47713050).

Almost surely, 22233242440 is an apocalyptic number.

2233242440 is a gapful number since it is divisible by the number (20) 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 2233242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053635200).

2233242440 is an abundant number, since it is smaller than the sum of its proper divisors (3874027960).

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

2233242440 is a wasteful number, since it uses less digits than its factorization.

2233242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13527 (or 13523 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2233242440 is about 47257.1945845286. The cubic root of 2233242440 is about 1307.1094590660.

Adding to 2233242440 its reverse (442423322), we get a palindrome (2675665762).

The spelling of 2233242440 in words is "two billion, two hundred thirty-three million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 29 40 44 52 55 58 65 88 104 110 116 130 143 145 220 232 260 286 290 319 377 440 520 572 580 638 715 754 1144 1160 1276 1430 1508 1595 1885 2552 2860 3016 3190 3770 4147 5720 6380 7540 8294 12760 13463 15080 16588 20735 26926 33176 41470 53852 67315 82940 107704 134630 148093 165880 175019 269260 296186 350038 390427 538520 592372 700076 740465 780854 875095 1184744 1400152 1480930 1561708 1750190 1925209 1952135 2961860 3123416 3500380 3850418 3904270 4294697 5075551 5923720 7000760 7700836 7808540 8589394 9626045 10151102 15401672 15617080 17178788 19252090 20302204 21473485 25377755 34357576 38504180 40604408 42946970 50755510 55831061 77008360 85893940 101511020 111662122 171787880 203022040 223324244 279155305 446648488 558310610 1116621220 2233242440