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2291305440 = 25354773553
BaseRepresentation
bin1000100010010010…
…1000101111100000
312220200111101011110
42020210220233200
514143033233230
61015210343320
7110531526534
oct21044505740
95820441143
102291305440
11a76422766
1253b42ab40
132a691c848
1417a447bc4
15d62554b0
hex88928be0

2291305440 has 48 divisors (see below), whose sum is σ = 7217613648. Its totient is φ = 611014656.

The previous prime is 2291305427. The next prime is 2291305447. The reversal of 2291305440 is 445031922.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2291305398 and 2291305407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291305447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2386297 + ... + 2387256.

It is an arithmetic number, because the mean of its divisors is an integer number (150366951).

Almost surely, 22291305440 is an apocalyptic number.

2291305440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2291305440 is an abundant number, since it is smaller than the sum of its proper divisors (4926308208).

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

2291305440 is a wasteful number, since it uses less digits than its factorization.

2291305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773571 (or 4773563 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2291305440 is about 47867.5823496445. The cubic root of 2291305440 is about 1318.3407066270.

The spelling of 2291305440 in words is "two billion, two hundred ninety-one million, three hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4773553 9547106 14320659 19094212 23867765 28641318 38188424 47735530 57282636 71603295 76376848 95471060 114565272 143206590 152753696 190942120 229130544 286413180 381884240 458261088 572826360 763768480 1145652720 2291305440