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2253444240 = 243543218357
BaseRepresentation
bin1000011001010000…
…1101010010010000
312211001020211100210
42012110031102100
514103340203430
61011335044120
7106561650165
oct20624152220
95731224323
102253444240
11a57013013
1252a810640
1329bb24678
141753d006c
15d2c772b0
hex8650d490

2253444240 has 80 divisors (see below), whose sum is σ = 7148167488. Its totient is φ = 586940928.

The previous prime is 2253444239. The next prime is 2253444241. The reversal of 2253444240 is 424443522.

It is an interprime number because it is at equal distance from previous prime (2253444239) and next prime (2253444241).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2253444198 and 2253444207.

It is not an unprimeable number, because it can be changed into a prime (2253444241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98859 + ... + 119498.

Almost surely, 22253444240 is an apocalyptic number.

2253444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253444240 is an abundant number, since it is smaller than the sum of its proper divisors (4894723248).

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

2253444240 is a wasteful number, since it uses less digits than its factorization.

2253444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218416 (or 218410 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 2253444240 is about 47470.4564966464. The cubic root of 2253444240 is about 1311.0389830622.

Adding to 2253444240 its reverse (424443522), we get a palindrome (2677887762).

The spelling of 2253444240 in words is "two billion, two hundred fifty-three million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 218357 436714 655071 873428 1091785 1310142 1746856 2183570 2620284 3275355 3493712 4367140 5240568 6550710 8734280 9389351 10481136 13101420 17468560 18778702 26202840 28168053 37557404 46946755 52405680 56336106 75114808 93893510 112672212 140840265 150229616 187787020 225344424 281680530 375574040 450688848 563361060 751148080 1126722120 2253444240