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2255501448 = 23322921932
BaseRepresentation
bin1000011001110000…
…0011100010001000
312211012010100022200
42012130003202020
514104402021243
61011451120200
7106615305654
oct20634034210
95735110280
102255501448
11a58198692
1252b443060
1329c394b55
141757a7a64
15d3031ad3
hex86703888

2255501448 has 108 divisors (see below), whose sum is σ = 6359506335. Its totient is φ = 722147328.

The previous prime is 2255501411. The next prime is 2255501453. The reversal of 2255501448 is 8441055522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 594286884 + 1661214564 = 24378^2 + 40758^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33582.

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

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 26 ways as a sum of consecutive naturals, for example, 11686440 + ... + 11686632.

Almost surely, 22255501448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255501448

2255501448 is an abundant number, since it is smaller than the sum of its proper divisors (4104004887).

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

2255501448 is a wasteful number, since it uses less digits than its factorization.

2255501448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 2255501448 is about 47492.1198516133. The cubic root of 2255501448 is about 1311.4378183970.

The spelling of 2255501448 in words is "two billion, two hundred fifty-five million, five hundred one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 193 232 261 348 386 522 579 696 772 841 1044 1158 1544 1682 1737 2088 2316 2523 3364 3474 4632 5046 5597 6728 6948 7569 10092 11194 13896 15138 16791 20184 22388 30276 33582 37249 44776 50373 60552 67164 74498 100746 111747 134328 148996 162313 201492 223494 297992 324626 335241 402984 446988 486939 649252 670482 893976 973878 1080221 1298504 1340964 1460817 1947756 2160442 2681928 2921634 3240663 3895512 4320884 5843268 6481326 8641768 9721989 11686536 12962652 19443978 25925304 31326409 38887956 62652818 77775912 93979227 125305636 187958454 250611272 281937681 375916908 563875362 751833816 1127750724 2255501448