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2252864016 = 243413133717
BaseRepresentation
bin1000011001000111…
…1111101000010000
312211000011100110000
42012101333220100
514103213122031
61011314410000
7106554012444
oct20621775020
95730140400
102252864016
11a56757097
1252a590900
1329b980540
141752bc824
15d2bb03e6
hex8647fa10

2252864016 has 100 divisors (see below), whose sum is σ = 7022067052. Its totient is φ = 693183744.

The previous prime is 2252863973. The next prime is 2252864027. The reversal of 2252864016 is 6104682522.

It is a happy number.

2252864016 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 8 + 640 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 182250000 + 2070614016 = 13500^2 + 45504^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50011 + ... + 83706.

Almost surely, 22252864016 is an apocalyptic number.

2252864016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2252864016 is an abundant number, since it is smaller than the sum of its proper divisors (4769203036).

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

2252864016 is a wasteful number, since it uses less digits than its factorization.

2252864016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133750 (or 133735 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2252864016 is about 47464.3446810340. The cubic root of 2252864016 is about 1310.9264499056.

The spelling of 2252864016 in words is "two billion, two hundred fifty-two million, eight hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 133717 267434 401151 534868 802302 1069736 1203453 1604604 1738321 2139472 2406906 3209208 3476642 3610359 4813812 5214963 6418416 6953284 7220718 9627624 10429926 10831077 13906568 14441436 15644889 19255248 20859852 21662154 27813136 28882872 31289778 41719704 43324308 46934667 57765744 62579556 83439408 86648616 93869334 125159112 140804001 173297232 187738668 250318224 281608002 375477336 563216004 750954672 1126432008 2252864016