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6222164640 = 253513198953
BaseRepresentation
bin1011100101101111…
…01011001010100000
3121001122002201021020
411302313223022200
5100220333232030
62505230325440
7310122345456
oct56267531240
917048081236
106222164640
11270328242a
121257959880
13782113833
144305209d6
152663be510
hex172deb2a0

6222164640 has 96 divisors (see below), whose sum is σ = 19749635136. Its totient is φ = 1646561280.

The previous prime is 6222164621. The next prime is 6222164653. The reversal of 6222164640 is 464612226.

It is a tau number, because it is divible by the number of its divisors (96).

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, 13404 + ... + 112356.

It is an arithmetic number, because the mean of its divisors is an integer number (205725366).

Almost surely, 26222164640 is an apocalyptic number.

6222164640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6222164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874817568).

6222164640 is an abundant number, since it is smaller than the sum of its proper divisors (13527470496).

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

6222164640 is a wasteful number, since it uses less digits than its factorization.

6222164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99102 (or 99094 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 6222164640 is about 78880.6987798663. The cubic root of 6222164640 is about 1839.2771104871.

Adding to 6222164640 its reverse (464612226), we get a palindrome (6686776866).

The spelling of 6222164640 in words is "six billion, two hundred twenty-two million, one hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 10480 12576 15720 20960 31440 62880 98953 197906 296859 395812 494765 593718 791624 989530 1187436 1484295 1583248 1979060 2374872 2968590 3166496 3958120 4749744 5937180 7916240 9499488 11874360 12962843 15832480 23748720 25925686 38888529 47497440 51851372 64814215 77777058 103702744 129628430 155554116 194442645 207405488 259256860 311108232 388885290 414810976 518513720 622216464 777770580 1037027440 1244432928 1555541160 2074054880 3111082320 6222164640