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2246400053660 = 2257312731189529
BaseRepresentation
bin100000101100000111111…
…000001001000110011100
321221202100111000111002102
4200230013320021012130
5243301111403204120
64435552033144232
7321203613255320
oct40540770110634
97852314014072
102246400053660
117967692a3074
1230344a9bb078
13133ab08616a9
147aa25127980
153d679c45d75
hex20b07e0919c

2246400053660 has 96 divisors (see below), whose sum is σ = 5567342161920. Its totient is φ = 745072473600.

The previous prime is 2246400053641. The next prime is 2246400053663. The reversal of 2246400053660 is 663500046422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246400053663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11757776 + ... + 11947304.

It is an arithmetic number, because the mean of its divisors is an integer number (57993147520).

Almost surely, 22246400053660 is an apocalyptic number.

2246400053660 is a gapful number since it is divisible by the number (20) 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 2246400053660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783671080960).

2246400053660 is an abundant number, since it is smaller than the sum of its proper divisors (3320942108260).

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

2246400053660 is a wasteful number, since it uses less digits than its factorization.

2246400053660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192307 (or 192305 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 2246400053660 in words is "two trillion, two hundred forty-six billion, four hundred million, fifty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 2731 4340 5462 10924 13655 19117 27310 38234 54620 76468 84661 95585 169322 189529 191170 338644 379058 382340 423305 592627 758116 846610 947645 1185254 1326703 1693220 1895290 2370508 2653406 2963135 3790580 5306812 5875399 5926270 6633515 11750798 11852540 13267030 23501596 26534060 29376995 41127793 58753990 82255586 117507980 164511172 205638965 411277930 517603699 822555860 1035207398 2070414796 2588018495 3623225893 5176036990 7246451786 10352073980 14492903572 16045714669 18116129465 32091429338 36232258930 64182858676 72464517860 80228573345 112320002683 160457146690 224640005366 320914293380 449280010732 561600013415 1123200026830 2246400053660