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2253487104 = 210321122229
BaseRepresentation
bin1000011001010001…
…0111110000000000
312211001100000011100
42012110113300000
514103343041404
61011340014400
7106562216151
oct20624276000
95731300140
102253487104
11a57042240
1252a831400
1329bb3b02b
14175401928
15d2c84d39
hex86517c00

2253487104 has 132 divisors (see below), whose sum is σ = 7098750360. Its totient is φ = 682844160.

The previous prime is 2253487091. The next prime is 2253487147. The reversal of 2253487104 is 4017843522.

It is a happy number.

2253487104 is a `hidden beast` number, since 22 + 53 + 487 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90262 + ... + 112490.

Almost surely, 22253487104 is an apocalyptic number.

2253487104 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 2253487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549375180).

2253487104 is an abundant number, since it is smaller than the sum of its proper divisors (4845263256).

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

2253487104 is a wasteful number, since it uses less digits than its factorization.

2253487104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22266 (or 22245 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2253487104 is about 47470.9079753063. The cubic root of 2253487104 is about 1311.0472956736.

The spelling of 2253487104 in words is "two billion, two hundred fifty-three million, four hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 22229 25344 33792 44458 50688 66687 88916 101376 133374 177832 200061 244519 266748 355664 400122 489038 533496 711328 733557 800244 978076 1066992 1422656 1467114 1600488 1956152 2133984 2200671 2845312 2934228 3200976 3912304 4267968 4401342 5690624 5868456 6401952 7824608 8535936 8802684 11381248 11736912 12803904 15649216 17071872 17605368 22762496 23473824 25607808 31298432 34143744 35210736 46947648 51215616 62596864 68287488 70421472 93895296 102431232 125193728 140842944 187790592 204862464 250387456 281685888 375581184 563371776 751162368 1126743552 2253487104