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2252737312 = 25797199521
BaseRepresentation
bin1000011001000110…
…0000101100100000
312210222220220122021
42012101200230200
514103200043222
61011311551224
7106552644160
oct20621405440
95728826567
102252737312
11a5667a981
1252a52b514
1329b937977
141752885a0
15d2b87ac7
hex86460b20

2252737312 has 96 divisors (see below), whose sum is σ = 5156524800. Its totient is φ = 948879360.

The previous prime is 2252737243. The next prime is 2252737321. The reversal of 2252737312 is 2137372522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4323612 + ... + 4324132.

It is an arithmetic number, because the mean of its divisors is an integer number (53713800).

Almost surely, 22252737312 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 2252737312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578262400).

2252737312 is an abundant number, since it is smaller than the sum of its proper divisors (2903787488).

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

2252737312 is a wasteful number, since it uses less digits than its factorization.

2252737312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its digits is 35280, while the sum is 34.

The square root of 2252737312 is about 47463.0099340529. The cubic root of 2252737312 is about 1310.9018733758.

The spelling of 2252737312 in words is "two billion, two hundred fifty-two million, seven hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 199 224 388 398 521 679 776 796 1042 1358 1393 1552 1592 2084 2716 2786 3104 3184 3647 4168 5432 5572 6368 7294 8336 10864 11144 14588 16672 19303 21728 22288 29176 38606 44576 50537 58352 77212 101074 103679 116704 135121 154424 202148 207358 270242 308848 353759 404296 414716 540484 617696 707518 725753 808592 829432 1080968 1415036 1451506 1617184 1658864 2161936 2830072 2903012 3317728 4323872 5660144 5806024 10056863 11320288 11612048 20113726 23224096 40227452 70398041 80454904 140796082 160909808 281592164 321819616 563184328 1126368656 2252737312