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2224078140 = 2235372414157
BaseRepresentation
bin1000010010010000…
…1011110100111100
312201222222212122110
42010210023310330
514023331000030
61004405414020
7106054231554
oct20444136474
95658885573
102224078140
11a41485909
12520a0a310
13295a1208b
14171548164
15d03c61b0
hex8490bd3c

2224078140 has 96 divisors (see below), whose sum is σ = 6423810624. Its totient is φ = 574525440.

The previous prime is 2224078123. The next prime is 2224078201. The reversal of 2224078140 is 418704222.

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 = 2224078098 and 2224078107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532942 + ... + 537098.

It is an arithmetic number, because the mean of its divisors is an integer number (66914694).

Almost surely, 22224078140 is an apocalyptic number.

2224078140 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 2224078140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211905312).

2224078140 is an abundant number, since it is smaller than the sum of its proper divisors (4199732484).

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

2224078140 is a wasteful number, since it uses less digits than its factorization.

2224078140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2224078140 is about 47160.1329514665. The cubic root of 2224078140 is about 1305.3190629255.

The spelling of 2224078140 in words is "two billion, two hundred twenty-four million, seventy-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 241 370 444 482 555 723 740 964 1110 1205 1446 2220 2410 2892 3615 4157 4820 7230 8314 8917 12471 14460 16628 17834 20785 24942 26751 35668 41570 44585 49884 53502 62355 83140 89170 107004 124710 133755 153809 178340 249420 267510 307618 461427 535020 615236 769045 922854 1001837 1538090 1845708 2003674 2307135 3005511 3076180 4007348 4614270 5009185 6011022 9228540 10018370 12022044 15027555 20036740 30055110 37067969 60110220 74135938 111203907 148271876 185339845 222407814 370679690 444815628 556019535 741359380 1112039070 2224078140