Search a number
-
+
2262616992 = 253273910631
BaseRepresentation
bin1000011011011100…
…1100101110100000
312211200111212000100
42012313030232200
514113212220432
61012303422400
7110032632666
oct20667145640
95750455010
102262616992
11a612086a9
125318b4a00
132a09b682c
141766dac36
15d398a07c
hex86dccba0

2262616992 has 72 divisors (see below), whose sum is σ = 6443629920. Its totient is φ = 753114240.

The previous prime is 2262616991. The next prime is 2262617009. The reversal of 2262616992 is 2996162622.

2262616992 is a `hidden beast` number, since 2 + 2 + 626 + 16 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2262616991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207517 + ... + 218147.

It is an arithmetic number, because the mean of its divisors is an integer number (89494860).

Almost surely, 22262616992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262616992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221814960).

2262616992 is an abundant number, since it is smaller than the sum of its proper divisors (4181012928).

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

2262616992 is a wasteful number, since it uses less digits than its factorization.

2262616992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11386 (or 11375 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2262616992 is about 47566.9737528046. The cubic root of 2262616992 is about 1312.8154570179.

The spelling of 2262616992 in words is "two billion, two hundred sixty-two million, six hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 739 1478 2217 2956 4434 5912 6651 8868 10631 11824 13302 17736 21262 23648 26604 31893 35472 42524 53208 63786 70944 85048 95679 106416 127572 170096 191358 212832 255144 340192 382716 510288 765432 1020576 1530864 3061728 7856309 15712618 23568927 31425236 47137854 62850472 70706781 94275708 125700944 141413562 188551416 251401888 282827124 377102832 565654248 754205664 1131308496 2262616992