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2293242864 = 2431111293847
BaseRepresentation
bin1000100010110000…
…0001101111110000
312220211010210210220
42020230001233300
514144032232424
61015320053040
7110554146153
oct21054015760
95824123726
102293242864
11a77526340
12540004180
132a714a653
1417a7cdc9a
15d64d9579
hex88b01bf0

2293242864 has 80 divisors (see below), whose sum is σ = 6470181120. Its totient is φ = 694126080.

The previous prime is 2293242859. The next prime is 2293242871. The reversal of 2293242864 is 4682423922.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594189 + ... + 598035.

It is an arithmetic number, because the mean of its divisors is an integer number (80877264).

Almost surely, 22293242864 is an apocalyptic number.

2293242864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235090560).

2293242864 is an abundant number, since it is smaller than the sum of its proper divisors (4176938256).

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

2293242864 is a wasteful number, since it uses less digits than its factorization.

2293242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4992 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 2293242864 is about 47887.8154022503. The cubic root of 2293242864 is about 1318.7121783243.

The spelling of 2293242864 in words is "two billion, two hundred ninety-three million, two hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1129 2258 3387 3847 4516 6774 7694 9032 11541 12419 13548 15388 18064 23082 24838 27096 30776 37257 42317 46164 49676 54192 61552 74514 84634 92328 99352 126951 149028 169268 184656 198704 253902 298056 338536 507804 596112 677072 1015608 2031216 4343263 8686526 13029789 17373052 26059578 34746104 47775893 52119156 69492208 95551786 104238312 143327679 191103572 208476624 286655358 382207144 573310716 764414288 1146621432 2293242864