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2251374930 = 2325713272693
BaseRepresentation
bin1000011000110001…
…0100000101010010
312210220100200210200
42012030110011102
514102322444210
61011222440030
7106535241210
oct20614240522
95726320720
102251374930
11a5592a342
12529b93016
1329b57b81c
14175011cb0
15d29b90c0
hex86314152

2251374930 has 96 divisors (see below), whose sum is σ = 6697327104. Its totient is φ = 514021248.

The previous prime is 2251374913. The next prime is 2251374959. The reversal of 2251374930 is 394731522.

2251374930 is a `hidden beast` number, since 2 + 251 + 374 + 9 + 30 = 666.

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 47 ways as a sum of consecutive naturals, for example, 834664 + ... + 837356.

It is an arithmetic number, because the mean of its divisors is an integer number (69763824).

Almost surely, 22251374930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251374930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348663552).

2251374930 is an abundant number, since it is smaller than the sum of its proper divisors (4445952174).

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

2251374930 is a wasteful number, since it uses less digits than its factorization.

2251374930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2251374930 is about 47448.6557238453. The cubic root of 2251374930 is about 1310.6375565295.

The spelling of 2251374930 in words is "two billion, two hundred fifty-one million, three hundred seventy-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1327 2654 2693 3981 5386 6635 7962 8079 9289 11943 13270 13465 16158 18578 18851 19905 23886 24237 26930 27867 37702 39810 40395 46445 48474 55734 56553 59715 80790 83601 92890 94255 113106 119430 121185 139335 167202 169659 188510 242370 278670 282765 339318 418005 565530 836010 848295 1696590 3573611 7147222 10720833 17868055 21441666 25015277 32162499 35736110 50030554 53604165 64324998 75045831 107208330 125076385 150091662 160812495 225137493 250152770 321624990 375229155 450274986 750458310 1125687465 2251374930