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2225540104000 = 2653614560533
BaseRepresentation
bin100000011000101100100…
…001101111111101000000
321212202111201100020200021
4200120230201233331000
5242430401231312000
64422222104103224
7316534646520463
oct40305441577500
97782451306607
102225540104000
11788934407154
122bb3a8a64b14
13131b37c73b05
1479a0694d2da
153cd5876011a
hex2062c86ff40

2225540104000 has 112 divisors (see below), whose sum is σ = 5601904575696. Its totient is φ = 875622144000.

The previous prime is 2225540103989. The next prime is 2225540104009. The reversal of 2225540104000 is 4010455222.

It can be written as a sum of positive squares in 8 ways, for example, as 906882908416 + 1318657195584 = 952304^2 + 1148328^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225540104009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792267 + ... + 2768266.

Almost surely, 22225540104000 is an apocalyptic number.

2225540104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225540104000 is an abundant number, since it is smaller than the sum of its proper divisors (3376364471696).

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

2225540104000 is an equidigital number, since it uses as much as digits as its factorization.

2225540104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560621 (or 4560601 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 2225540104000 its reverse (4010455222), we get a palindrome (2229550559222).

The spelling of 2225540104000 in words is "two trillion, two hundred twenty-five billion, five hundred forty million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 800 976 1000 1220 1525 1600 1952 2000 2440 3050 3904 4000 4880 6100 7625 8000 9760 12200 15250 19520 24400 30500 48800 61000 97600 122000 244000 488000 4560533 9121066 18242132 22802665 36484264 45605330 72968528 91210660 114013325 145937056 182421320 228026650 278192513 291874112 364842640 456053300 556385026 570066625 729685280 912106600 1112770052 1140133250 1390962565 1459370560 1824213200 2225540104 2280266500 2781925130 3648426400 4451080208 4560533000 5563850260 6954812825 7296852800 8902160416 9121066000 11127700520 13909625650 17804320832 18242132000 22255401040 27819251300 34774064125 36484264000 44510802080 55638502600 69548128250 89021604160 111277005200 139096256500 222554010400 278192513000 445108020800 556385026000 1112770052000 2225540104000