Search a number
-
+
2215554240 = 263517135757
BaseRepresentation
bin1000010000001110…
…1010110011000000
312201101221211001110
42010003222303000
514014140213430
61003503003320
7105621620544
oct20403526300
95641854043
102215554240
11a37693769
12519b99540
13294019353
14170369a24
15ce7907b0
hex840eacc0

2215554240 has 112 divisors (see below), whose sum is σ = 7448226912. Its totient is φ = 556056576.

The previous prime is 2215554239. The next prime is 2215554241. The reversal of 2215554240 is 424555122.

It is an interprime number because it is at equal distance from previous prime (2215554239) and next prime (2215554241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2215554198 and 2215554207.

It is not an unprimeable number, because it can be changed into a prime (2215554241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51559 + ... + 84198.

It is an arithmetic number, because the mean of its divisors is an integer number (66502026).

Almost surely, 22215554240 is an apocalyptic number.

2215554240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2215554240 is an abundant number, since it is smaller than the sum of its proper divisors (5232672672).

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

2215554240 is a wasteful number, since it uses less digits than its factorization.

2215554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135794 (or 135784 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2215554240 is about 47069.6743137235. The cubic root of 2215554240 is about 1303.6493593464.

The spelling of 2215554240 in words is "two billion, two hundred fifteen million, five hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 135757 271514 407271 543028 678785 814542 1086056 1357570 1629084 2036355 2172112 2307869 2715140 3258168 4072710 4344224 4615738 5430280 6516336 6923607 8145420 8688448 9231476 10860560 11539345 13032672 13847214 16290840 18462952 21721120 23078690 26065344 27694428 32581680 34618035 36925904 43442240 46157380 55388856 65163360 69236070 73851808 92314760 110777712 130326720 138472140 147703616 184629520 221555424 276944280 369259040 443110848 553888560 738518080 1107777120 2215554240