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2248140480 = 26353376949
BaseRepresentation
bin1000010111111111…
…1110011011000000
312210200021100222020
42011333332123000
514101010443410
61011025241440
7106465610265
oct20577763300
95720240866
102248140480
11a54020243
12528a93280
1329a9b8551
1417480d26c
15d257aa70
hex85ffe6c0

2248140480 has 112 divisors (see below), whose sum is σ = 7160056800. Its totient is φ = 597639168.

The previous prime is 2248140457. The next prime is 2248140481. The reversal of 2248140480 is 840418422.

It is not an unprimeable number, because it can be changed into a prime (2248140481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320046 + ... + 326994.

Almost surely, 22248140480 is an apocalyptic number.

2248140480 is a gapful number since it is divisible by the number (20) 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 2248140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580028400).

2248140480 is an abundant number, since it is smaller than the sum of its proper divisors (4911916320).

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

2248140480 is a wasteful number, since it uses less digits than its factorization.

2248140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7306 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 2248140480 is about 47414.5597891618. The cubic root of 2248140480 is about 1310.0096108690.

The spelling of 2248140480 in words is "two billion, two hundred forty-eight million, one hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 337 480 674 960 1011 1348 1685 2022 2696 3370 4044 5055 5392 6740 6949 8088 10110 10784 13480 13898 16176 20220 20847 21568 26960 27796 32352 34745 40440 41694 53920 55592 64704 69490 80880 83388 104235 107840 111184 138980 161760 166776 208470 222368 277960 323520 333552 416940 444736 555920 667104 833880 1111840 1334208 1667760 2223680 2341813 3335520 4683626 6671040 7025439 9367252 11709065 14050878 18734504 23418130 28101756 35127195 37469008 46836260 56203512 70254390 74938016 93672520 112407024 140508780 149876032 187345040 224814048 281017560 374690080 449628096 562035120 749380160 1124070240 2248140480