Search a number
-
+
2262352416 = 253157367409
BaseRepresentation
bin1000011011011000…
…1100001000100000
312211200000102002020
42012312030020200
514113130234131
61012254021440
7110030451432
oct20666141040
95750012066
102262352416
11a61047945
125317a7880
132a092328c
1417666c652
15d3936996
hex86d8c220

2262352416 has 96 divisors (see below), whose sum is σ = 6007438080. Its totient is φ = 745445376.

The previous prime is 2262352409. The next prime is 2262352453. The reversal of 2262352416 is 6142532622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5531220 + ... + 5531628.

It is an arithmetic number, because the mean of its divisors is an integer number (62577480).

Almost surely, 22262352416 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 2262352416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003719040).

2262352416 is an abundant number, since it is smaller than the sum of its proper divisors (3745085664).

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

2262352416 is a wasteful number, since it uses less digits than its factorization.

2262352416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 2262352416 is about 47564.1925822356. The cubic root of 2262352416 is about 1312.7642842678.

The spelling of 2262352416 in words is "two billion, two hundred sixty-two million, three hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 367 409 471 628 734 818 942 1101 1227 1256 1468 1636 1884 2202 2454 2512 2936 3272 3768 4404 4908 5024 5872 6544 7536 8808 9816 11744 13088 15072 17616 19632 35232 39264 57619 64213 115238 128426 150103 172857 192639 230476 256852 300206 345714 385278 450309 460952 513704 600412 691428 770556 900618 921904 1027408 1200824 1382856 1541112 1801236 1843808 2054816 2401648 2765712 3082224 3602472 4803296 5531424 6164448 7204944 14409888 23566171 47132342 70698513 94264684 141397026 188529368 282794052 377058736 565588104 754117472 1131176208 2262352416