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2286403203240 = 233651331533671
BaseRepresentation
bin100001010001011000010…
…000000011000010101000
322002120121101000001000000
4201101120100003002220
5244430023210000430
64510205323343000
7324121126364502
oct41213020030250
98076541001000
102286403203240
11801727002472
1230b153981a60
131377b74776c0
147c93bcb4d72
153e71bb50e60
hex214584030a8

2286403203240 has 896 divisors, whose sum is σ = 8738504570880. Its totient is φ = 534229862400.

The previous prime is 2286403203239. The next prime is 2286403203257. The reversal of 2286403203240 is 423023046822.

2286403203240 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 4 + 0 + 320 + 324 + 0 = 666.

It is a super-2 number, since 2×22864032032402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2286403203195 and 2286403203204.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 622826605 + ... + 622830275.

It is an arithmetic number, because the mean of its divisors is an integer number (9752795280).

Almost surely, 22286403203240 is an apocalyptic number.

2286403203240 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 2286403203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369252285440).

2286403203240 is an abundant number, since it is smaller than the sum of its proper divisors (6452101367640).

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

2286403203240 is a wasteful number, since it uses less digits than its factorization.

2286403203240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2286403203240 in words is "two trillion, two hundred eighty-six billion, four hundred three million, two hundred three thousand, two hundred forty".