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2201404464 = 2432712291777
BaseRepresentation
bin1000001100110110…
…1100010000110000
312200102022221012200
42003031230100300
514002024420324
61002235423200
7105360425550
oct20315542060
95612287180
102201404464
11a2a6a9836
125152b4b00
132911039bc
1416c525160
15cd3e7ec9
hex8336c430

2201404464 has 120 divisors (see below), whose sum is σ = 7050694560. Its totient is φ = 628107264.

The previous prime is 2201404453. The next prime is 2201404483. The reversal of 2201404464 is 4644041022.

It is a happy number.

It is a super-2 number, since 2×22014044642 = 9692363228238254592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1237944 + ... + 1239720.

It is an arithmetic number, because the mean of its divisors is an integer number (58755788).

Almost surely, 22201404464 is an apocalyptic number.

2201404464 is a gapful number since it is divisible by the number (24) 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 2201404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525347280).

2201404464 is an abundant number, since it is smaller than the sum of its proper divisors (4849290096).

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

2201404464 is a wasteful number, since it uses less digits than its factorization.

2201404464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2201404464 is about 46919.1268460955. The cubic root of 2201404464 is about 1300.8681506848.

Adding to 2201404464 its reverse (4644041022), we get a palindrome (6845445486).

The spelling of 2201404464 in words is "two billion, two hundred one million, four hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1229 1777 2458 3554 3687 4916 5331 7108 7374 8603 9832 10662 11061 12439 14216 14748 15993 17206 19664 21324 22122 24878 25809 28432 29496 31986 34412 37317 42648 44244 49756 51618 58992 63972 68824 74634 77427 85296 88488 99512 103236 111951 127944 137648 149268 154854 176976 199024 206472 223902 255888 298536 309708 412944 447804 597072 619416 895608 1238832 1791216 2183933 4367866 6551799 8735732 13103598 15287531 17471464 19655397 26207196 30575062 34942928 39310794 45862593 52414392 61150124 78621588 91725186 104828784 122300248 137587779 157243176 183450372 244600496 275175558 314486352 366900744 550351116 733801488 1100702232 2201404464