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2253641364 = 2232132370421
BaseRepresentation
bin1000011001010011…
…1101011010010100
312211001121211202200
42012110331122110
514103413010424
61011343204500
7106563430662
oct20624753224
95731554680
102253641364
11a57138127
1252a8a6730
1329bb93300
14175441c32
15d2cb58c9
hex8653d694

2253641364 has 54 divisors (see below), whose sum is σ = 6168637566. Its totient is φ = 693426240.

The previous prime is 2253641353. The next prime is 2253641371. The reversal of 2253641364 is 4631463522.

2253641364 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 641 + 3 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 127509264 + 2126132100 = 11292^2 + 46110^2 .

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 179127 + ... + 191294.

It is an arithmetic number, because the mean of its divisors is an integer number (114234029).

Almost surely, 22253641364 is an apocalyptic number.

It is an amenable number.

2253641364 is an abundant number, since it is smaller than the sum of its proper divisors (3914996202).

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

2253641364 is a wasteful number, since it uses less digits than its factorization.

2253641364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370457 (or 370439 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2253641364 is about 47472.5327320968. The cubic root of 2253641364 is about 1311.0772104282.

The spelling of 2253641364 in words is "two billion, two hundred fifty-three million, six hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 370421 740842 1111263 1481684 2222526 3333789 4445052 4815473 6667578 9630946 13335156 14446419 19261892 28892838 43339257 57785676 62601149 86678514 125202298 173357028 187803447 250404596 375606894 563410341 751213788 1126820682 2253641364