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2267042140 = 22511175311437
BaseRepresentation
bin1000011100100000…
…0101000101011100
312211222211200011201
42013020011011130
514120330322030
61012542325244
7110115353206
oct20710050534
95758750151
102267042140
11a63760350
12533289824
132a18a5a6c
1417712d776
15d40612ca
hex8720515c

2267042140 has 96 divisors (see below), whose sum is σ = 5603338944. Its totient is φ = 761180160.

The previous prime is 2267042077. The next prime is 2267042147. The reversal of 2267042140 is 412407622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2267042099 and 2267042108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267042147) 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, 192502 + ... + 203938.

It is an arithmetic number, because the mean of its divisors is an integer number (58368114).

Almost surely, 22267042140 is an apocalyptic number.

2267042140 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 2267042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801669472).

2267042140 is an abundant number, since it is smaller than the sum of its proper divisors (3336296804).

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

2267042140 is a wasteful number, since it uses less digits than its factorization.

2267042140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11527 (or 11525 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2267042140 is about 47613.4659523963. The cubic root of 2267042140 is about 1313.6707526848.

Adding to 2267042140 its reverse (412407622), we get a palindrome (2679449762).

The spelling of 2267042140 in words is "two billion, two hundred sixty-seven million, forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 170 187 212 220 265 340 374 530 583 748 901 935 1060 1166 1802 1870 2332 2915 3604 3740 4505 5830 9010 9911 11437 11660 18020 19822 22874 39644 45748 49555 57185 99110 114370 125807 194429 198220 228740 251614 388858 503228 606161 629035 777716 972145 1212322 1258070 1944290 2138719 2424644 2516140 3030805 3888580 4277438 6061610 6667771 8554876 10304737 10693595 12123220 13335542 20609474 21387190 26671084 33338855 41218948 42774380 51523685 66677710 103047370 113352107 133355420 206094740 226704214 453408428 566760535 1133521070 2267042140