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4022262240 = 25358379713
BaseRepresentation
bin1110111110111110…
…1101100111100000
3101101022121002111120
43233233231213200
531214144342430
61503043012240
7201450444033
oct35757554740
911338532446
104022262240
11178450a177
1294306a080
134c1417739
142a22ab01a
151881c1610
hexefbed9e0

4022262240 has 48 divisors (see below), whose sum is σ = 12670127568. Its totient is φ = 1072603136.

The previous prime is 4022262239. The next prime is 4022262263. The reversal of 4022262240 is 422622204.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4022262240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4189377 + ... + 4190336.

It is an arithmetic number, because the mean of its divisors is an integer number (263960991).

Almost surely, 24022262240 is an apocalyptic number.

4022262240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022262240 is an abundant number, since it is smaller than the sum of its proper divisors (8647865328).

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

4022262240 is a wasteful number, since it uses less digits than its factorization.

4022262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379731 (or 8379723 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4022262240 is about 63421.3074605057. The cubic root of 4022262240 is about 1590.3405306786.

Adding to 4022262240 its reverse (422622204), we get a palindrome (4444884444).

The spelling of 4022262240 in words is "four billion, twenty-two million, two hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8379713 16759426 25139139 33518852 41898565 50278278 67037704 83797130 100556556 125695695 134075408 167594260 201113112 251391390 268150816 335188520 402226224 502782780 670377040 804452448 1005565560 1340754080 2011131120 4022262240