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2245520112 = 2431129532767
BaseRepresentation
bin1000010111010111…
…1110101011110000
312210111100020111120
42011311332223300
514044323120422
61010453142240
7106434414603
oct20565765360
95714306446
102245520112
11a525a0550
1252802a980
1329a2ab934
1417432a33a
15d220e45c
hex85d7eaf0

2245520112 has 160 divisors (see below), whose sum is σ = 6672430080. Its totient is φ = 644367360.

The previous prime is 2245520087. The next prime is 2245520113. The reversal of 2245520112 is 2110255422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245520113) 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, 810153 + ... + 812919.

It is an arithmetic number, because the mean of its divisors is an integer number (41702688).

Almost surely, 22245520112 is an apocalyptic number.

2245520112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245520112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336215040).

2245520112 is an abundant number, since it is smaller than the sum of its proper divisors (4426909968).

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

2245520112 is a wasteful number, since it uses less digits than its factorization.

2245520112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2245520112 is about 47386.9192077307. The cubic root of 2245520112 is about 1309.5004431298.

Adding to 2245520112 its reverse (2110255422), we get a palindrome (4355775534).

The spelling of 2245520112 in words is "two billion, two hundred forty-five million, five hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 53 58 66 87 88 106 116 132 159 174 176 212 232 264 318 319 348 424 464 528 583 636 638 696 848 957 1166 1272 1276 1392 1537 1749 1914 2332 2544 2552 2767 3074 3498 3828 4611 4664 5104 5534 6148 6996 7656 8301 9222 9328 11068 12296 13992 15312 16602 16907 18444 22136 24592 27984 30437 33204 33814 36888 44272 50721 60874 66408 67628 73776 80243 91311 101442 121748 132816 135256 146651 160486 182622 202884 240729 243496 270512 293302 320972 365244 405768 439953 481458 486992 586604 641944 730488 811536 879906 882673 962916 1173208 1283888 1460976 1613161 1759812 1765346 1925832 2346416 2648019 3226322 3519624 3530692 3851664 4252879 4839483 5296038 6452644 7039248 7061384 8505758 9678966 10592076 12758637 12905288 14122768 17011516 19357932 21184152 25517274 25810576 34023032 38715864 42368304 46781669 51034548 68046064 77431728 93563338 102069096 140345007 187126676 204138192 280690014 374253352 561380028 748506704 1122760056 2245520112