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2215485440 = 213577727
BaseRepresentation
bin1000010000001101…
…1010000000000000
312201101211022200022
42010003122000000
514014131013230
61003501313012
7105621213140
oct20403320000
95641738608
102215485440
11a37647003
12519b65768
13293cc3c3c
1417034c920
15ce77a1e5
hex840da000

2215485440 has 112 divisors (see below), whose sum is σ = 6077175552. Its totient is φ = 759496704.

The previous prime is 2215485427. The next prime is 2215485451. The reversal of 2215485440 is 445845122.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2215485440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282857 + ... + 290583.

It is an arithmetic number, because the mean of its divisors is an integer number (54260496).

Almost surely, 22215485440 is an apocalyptic number.

2215485440 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 2215485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038587776).

2215485440 is an abundant number, since it is smaller than the sum of its proper divisors (3861690112).

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

2215485440 is an frugal number, since it uses more digits than its factorization.

2215485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7741 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

The square root of 2215485440 is about 47068.9434765642. The cubic root of 2215485440 is about 1303.6358650549.

The spelling of 2215485440 in words is "two billion, two hundred fifteen million, four hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 7727 8192 8960 10240 14336 15454 17920 20480 28672 30908 35840 38635 40960 54089 57344 61816 71680 77270 108178 123632 143360 154540 216356 247264 270445 286720 309080 432712 494528 540890 618160 865424 989056 1081780 1236320 1730848 1978112 2163560 2472640 3461696 3956224 4327120 4945280 6923392 7912448 8654240 9890560 13846784 15824896 17308480 19781120 27693568 31649792 34616960 39562240 55387136 63299584 69233920 79124480 110774272 138467840 158248960 221548544 276935680 316497920 443097088 553871360 1107742720 2215485440