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2238490512 = 243329197907
BaseRepresentation
bin1000010101101100…
…1010011110010000
312210000010002201000
42011123022132100
514041023144022
61010042342000
7106320566256
oct20533123620
95700102630
102238490512
11a4962a065
125257ba900
132989ba0cb
1417341a5d6
15d17c16ac
hex856ca790

2238490512 has 160 divisors (see below), whose sum is σ = 6687964800. Its totient is φ = 715986432.

The previous prime is 2238490511. The next prime is 2238490519. The reversal of 2238490512 is 2150948322.

It is a happy number.

2238490512 is a `hidden beast` number, since 22 + 38 + 4 + 90 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2238490511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2467563 + ... + 2468469.

It is an arithmetic number, because the mean of its divisors is an integer number (41799780).

Almost surely, 22238490512 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 2238490512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343982400).

2238490512 is an abundant number, since it is smaller than the sum of its proper divisors (4449474288).

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

2238490512 is a wasteful number, since it uses less digits than its factorization.

2238490512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2238490512 is about 47312.6886997558. The cubic root of 2238490512 is about 1308.1325511659.

It can be divided in two parts, 22384 and 90512, that added together give a square (112896 = 3362).

The spelling of 2238490512 in words is "two billion, two hundred thirty-eight million, four hundred ninety thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 197 216 232 261 348 394 432 464 522 591 696 783 788 907 1044 1182 1392 1566 1576 1773 1814 2088 2364 2721 3132 3152 3546 3628 4176 4728 5319 5442 5713 6264 7092 7256 8163 9456 10638 10884 11426 12528 14184 14512 16326 17139 21276 21768 22852 24489 26303 28368 32652 34278 42552 43536 45704 48978 51417 52606 65304 68556 78909 85104 91408 97956 102834 105212 130608 137112 154251 157818 178679 195912 205668 210424 236727 274224 308502 315636 357358 391824 411336 420848 473454 536037 617004 631272 710181 714716 822672 946908 1072074 1234008 1262544 1420362 1429432 1608111 1893816 2144148 2468016 2840724 2858864 3216222 3787632 4288296 4824333 5181691 5681448 6432444 8576592 9648666 10363382 11362896 12864888 15545073 19297332 20726764 25729776 31090146 38594664 41453528 46635219 62180292 77189328 82907056 93270438 124360584 139905657 186540876 248721168 279811314 373081752 559622628 746163504 1119245256 2238490512