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2254535040 = 27351174237
BaseRepresentation
bin1000011001100001…
…0111100110000000
312211010022020122210
42012120113212000
514104130110130
61011414302120
7106604142312
oct20630274600
95733266583
102254535040
11a576985aa
1252b057940
1329c117004
141755d57b2
15d2de05b0
hex86617980

2254535040 has 64 divisors (see below), whose sum is σ = 7186336560. Its totient is φ = 601208832.

The previous prime is 2254535033. The next prime is 2254535077. The reversal of 2254535040 is 405354522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2254534989 and 2254535007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585199 + ... + 589038.

Almost surely, 22254535040 is an apocalyptic number.

2254535040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254535040 is an abundant number, since it is smaller than the sum of its proper divisors (4931801520).

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

2254535040 is a wasteful number, since it uses less digits than its factorization.

2254535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174259 (or 1174247 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2254535040 is about 47481.9443578293. The cubic root of 2254535040 is about 1311.2504890185.

Adding to 2254535040 its reverse (405354522), we get a palindrome (2659889562).

The spelling of 2254535040 in words is "two billion, two hundred fifty-four million, five hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1174237 2348474 3522711 4696948 5871185 7045422 9393896 11742370 14090844 17613555 18787792 23484740 28181688 35227110 37575584 46969480 56363376 70454220 75151168 93938960 112726752 140908440 150302336 187877920 225453504 281816880 375755840 450907008 563633760 751511680 1127267520 2254535040