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2242637040 = 243571334903
BaseRepresentation
bin1000010110101011…
…1110110011110000
312210021220202200010
42011222332303300
514043103341130
61010311254520
7106401046260
oct20552766360
95707822603
102242637040
11a50a01446
1252707a440
1329980c587
14173bb97a0
15d1d400b0
hex85abecf0

2242637040 has 80 divisors (see below), whose sum is σ = 7945348608. Its totient is φ = 512602368.

The previous prime is 2242637029. The next prime is 2242637053. The reversal of 2242637040 is 407362422.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2242636989 and 2242637007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665772 + ... + 669131.

Almost surely, 22242637040 is an apocalyptic number.

2242637040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242637040 is an abundant number, since it is smaller than the sum of its proper divisors (5702711568).

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

2242637040 is a wasteful number, since it uses less digits than its factorization.

2242637040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334926 (or 1334920 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2242637040 is about 47356.4888901194. The cubic root of 2242637040 is about 1308.9397710966.

Adding to 2242637040 its reverse (407362422), we get a palindrome (2649999462).

The spelling of 2242637040 in words is "two billion, two hundred forty-two million, six hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1334903 2669806 4004709 5339612 6674515 8009418 9344321 10679224 13349030 16018836 18688642 20023545 21358448 26698060 28032963 32037672 37377284 40047090 46721605 53396120 56065926 64075344 74754568 80094180 93443210 106792240 112131852 140164815 149509136 160188360 186886420 224263704 280329630 320376720 373772840 448527408 560659260 747545680 1121318520 2242637040