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2072253312 = 27324738273
BaseRepresentation
bin111101110000100…
…0001001110000000
312100102022101010200
41323201001032000
513220444101222
6541343325200
7102231601563
oct17341011600
95312271120
102072253312
11973807648
12499bb0800
132704246bc
141593064da
15c1dd5eac
hex7b841380

2072253312 has 96 divisors (see below), whose sum is σ = 6090158880. Its totient is φ = 676036608.

The previous prime is 2072253269. The next prime is 2072253317. The reversal of 2072253312 is 2133522702.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072253317) 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, 35008 + ... + 73280.

It is an arithmetic number, because the mean of its divisors is an integer number (63439155).

Almost surely, 22072253312 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 2072253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045079440).

2072253312 is an abundant number, since it is smaller than the sum of its proper divisors (4017905568).

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

2072253312 is a wasteful number, since it uses less digits than its factorization.

2072253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38340 (or 38325 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2072253312 is about 45522.0090945028. The cubic root of 2072253312 is about 1274.9141681551.

The spelling of 2072253312 in words is "two billion, seventy-two million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1692 2256 3008 3384 4512 6016 6768 9024 13536 18048 27072 38273 54144 76546 114819 153092 229638 306184 344457 459276 612368 688914 918552 1224736 1377828 1798831 1837104 2449472 2755656 3597662 3674208 4898944 5396493 5511312 7195324 7348416 10792986 11022624 14390648 14696832 16189479 21585972 22045248 28781296 32378958 43171944 44090496 57562592 64757916 86343888 115125184 129515832 172687776 230250368 259031664 345375552 518063328 690751104 1036126656 2072253312