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4002022240 = 255178713997
BaseRepresentation
bin1110111010001010…
…0000001101100000
3101022220111210102221
43232202200031200
531144004202430
61501041120424
7201113425216
oct35642401540
911286453387
104002022240
1117740455a7
12938329114
134ba17bcc8
1429d71ccb6
1518652457a
hexee8a0360

4002022240 has 48 divisors (see below), whose sum is σ = 9460744272. Its totient is φ = 1599798784.

The previous prime is 4002022229. The next prime is 4002022249. The reversal of 4002022240 is 422202004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002022249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278922 + ... + 292918.

It is an arithmetic number, because the mean of its divisors is an integer number (197098839).

Almost surely, 24002022240 is an apocalyptic number.

4002022240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002022240 is an abundant number, since it is smaller than the sum of its proper divisors (5458722032).

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

4002022240 is a wasteful number, since it uses less digits than its factorization.

4002022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15799 (or 15791 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4002022240 is about 63261.5383941934. The cubic root of 4002022240 is about 1587.6685157255.

Adding to 4002022240 its reverse (422202004), we get a palindrome (4424224244).

The spelling of 4002022240 in words is "four billion, two million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1787 3574 7148 8935 13997 14296 17870 27994 28592 35740 55988 57184 69985 71480 111976 139970 142960 223952 279940 285920 447904 559880 1119760 2239520 25012639 50025278 100050556 125063195 200101112 250126390 400202224 500252780 800404448 1000505560 2001011120 4002022240