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2262254546640 = 243511856914601
BaseRepresentation
bin100000111010111000111…
…000001110111011010000
322000021021102001011210010
4200322320320032323100
5244031044130443030
64451133154034520
7322304530241034
oct40727070167320
98007242034703
102262254546640
117a2464795330
12306534578a40
1313543942ca9a
147b6caa201c4
153dca6a986b0
hex20eb8e0eed0

2262254546640 has 80 divisors (see below), whose sum is σ = 7650533566656. Its totient is φ = 548425344000.

The previous prime is 2262254546639. The next prime is 2262254546641. The reversal of 2262254546640 is 466454522622.

It is an interprime number because it is at equal distance from previous prime (2262254546639) and next prime (2262254546641).

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2262254546640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262254546641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428454661 + ... + 428459940.

Almost surely, 22262254546640 is an apocalyptic number.

2262254546640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2262254546640 is an abundant number, since it is smaller than the sum of its proper divisors (5388279020016).

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

2262254546640 is a wasteful number, since it uses less digits than its factorization.

2262254546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856914628 (or 856914622 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 2262254546640 in words is "two trillion, two hundred sixty-two billion, two hundred fifty-four million, five hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 856914601 1713829202 2570743803 3427658404 4284573005 5141487606 6855316808 8569146010 9426060611 10282975212 12853719015 13710633616 17138292020 18852121222 20565950424 25707438030 28278181833 34276584040 37704242444 41131900848 47130303055 51414876060 56556363666 68553168080 75408484888 94260606110 102829752120 113112727332 141390909165 150816969776 188521212220 205659504240 226225454664 282781818330 377042424440 452450909328 565563636660 754084848880 1131127273320 2262254546640