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2214702240 = 253515532971
BaseRepresentation
bin1000010000000001…
…1010110010100000
312201100100112022220
42010000122302200
514013430432430
61003432431040
7105611441562
oct20400326240
95640315286
102214702240
11a37161633
12519848480
13293aab5ca
141701c7332
15ce673110
hex8401aca0

2214702240 has 96 divisors (see below), whose sum is σ = 6983153856. Its totient is φ = 590008320.

The previous prime is 2214702239. The next prime is 2214702241. The reversal of 2214702240 is 422074122.

It is an interprime number because it is at equal distance from previous prime (2214702239) and next prime (2214702241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22147022402 = 9809812023722035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2214702240.

It is not an unprimeable number, because it can be changed into a prime (2214702241) 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, 743955 + ... + 746925.

It is an arithmetic number, because the mean of its divisors is an integer number (72741186).

Almost surely, 22214702240 is an apocalyptic number.

2214702240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214702240 is an abundant number, since it is smaller than the sum of its proper divisors (4768451616).

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

2214702240 is a wasteful number, since it uses less digits than its factorization.

2214702240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 2214702240 is about 47060.6230303000. The cubic root of 2214702240 is about 1303.4822301107.

Adding to 2214702240 its reverse (422074122), we get a palindrome (2636776362).

The spelling of 2214702240 in words is "two billion, two hundred fourteen million, seven hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1553 2971 3106 4659 5942 6212 7765 8913 9318 11884 12424 14855 15530 17826 18636 23295 23768 24848 29710 31060 35652 37272 44565 46590 47536 49696 59420 62120 71304 74544 89130 93180 95072 118840 124240 142608 149088 178260 186360 237680 248480 285216 356520 372720 475360 713040 745440 1426080 4613963 9227926 13841889 18455852 23069815 27683778 36911704 46139630 55367556 69209445 73823408 92279260 110735112 138418890 147646816 184558520 221470224 276837780 369117040 442940448 553675560 738234080 1107351120 2214702240