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2442221040 = 243571453703
BaseRepresentation
bin1001000110010001…
…0101010111110000
320022012110200110010
42101210111113300
520000202033130
61042201134520
7114343351650
oct22144252760
96265420403
102442221040
11104362a8a6
12581a8a440
132cbc7c40c
141924d0360
15e46160b0
hex919155f0

2442221040 has 80 divisors (see below), whose sum is σ = 8652446208. Its totient is φ = 558221568.

The previous prime is 2442221027. The next prime is 2442221113. The reversal of 2442221040 is 401222442.

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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 2442220998 and 2442221016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725172 + ... + 728531.

Almost surely, 22442221040 is an apocalyptic number.

2442221040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442221040 is an abundant number, since it is smaller than the sum of its proper divisors (6210225168).

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

2442221040 is a wasteful number, since it uses less digits than its factorization.

2442221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453726 (or 1453720 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2442221040 is about 49418.8328474075. The cubic root of 2442221040 is about 1346.6714597527.

Adding to 2442221040 its reverse (401222442), we get a palindrome (2843443482).

The spelling of 2442221040 in words is "two billion, four hundred forty-two million, two hundred twenty-one 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 1453703 2907406 4361109 5814812 7268515 8722218 10175921 11629624 14537030 17444436 20351842 21805545 23259248 29074060 30527763 34888872 40703684 43611090 50879605 58148120 61055526 69777744 81407368 87222180 101759210 116296240 122111052 152638815 162814736 174444360 203518420 244222104 305277630 348888720 407036840 488444208 610555260 814073680 1221110520 2442221040