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2230025040 = 243351032419
BaseRepresentation
bin1000010011101011…
…0111101101010000
312202102012000021000
42010322313231100
514031341300130
61005141102000
7106155620505
oct20472675520
95672160230
102230025040
11a44877901
125229b7900
13297014b59
141722554ac
15d0b9d260
hex84eb7b50

2230025040 has 80 divisors (see below), whose sum is σ = 7681204800. Its totient is φ = 594672768.

The previous prime is 2230025033. The next prime is 2230025047. The reversal of 2230025040 is 405200322.

2230025040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2230025033) and next prime (2230025047).

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230025047) 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, 514050 + ... + 518369.

It is an arithmetic number, because the mean of its divisors is an integer number (96015060).

Almost surely, 22230025040 is an apocalyptic number.

2230025040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230025040 is an abundant number, since it is smaller than the sum of its proper divisors (5451179760).

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

2230025040 is a wasteful number, since it uses less digits than its factorization.

2230025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032441 (or 1032429 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2230025040 is about 47223.1409374684. The cubic root of 2230025040 is about 1306.4814461651.

Adding to 2230025040 its reverse (405200322), we get a palindrome (2635225362).

The spelling of 2230025040 in words is "two billion, two hundred thirty million, twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1032419 2064838 3097257 4129676 5162095 6194514 8259352 9291771 10324190 12389028 15486285 16518704 18583542 20648380 24778056 27875313 30972570 37167084 41296760 46458855 49556112 55750626 61945140 74334168 82593520 92917710 111501252 123890280 139376565 148668336 185835420 223002504 247780560 278753130 371670840 446005008 557506260 743341680 1115012520 2230025040