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2248860480 = 263513717099
BaseRepresentation
bin1000011000001010…
…1110001101000000
312210201121221121220
42012002232031000
514101202013410
61011052515040
7106504666356
oct20602561500
95721557556
102248860480
11a54472189
1252917ba80
1329abab199
141749597d6
15d266e070
hex860ae340

2248860480 has 112 divisors (see below), whose sum is σ = 7192670400. Its totient is φ = 595283968.

The previous prime is 2248860469. The next prime is 2248860499. The reversal of 2248860480 is 840688422.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 122971 + ... + 140069.

Almost surely, 22248860480 is an apocalyptic number.

2248860480 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 2248860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596335200).

2248860480 is an abundant number, since it is smaller than the sum of its proper divisors (4943809920).

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

2248860480 is a wasteful number, since it uses less digits than its factorization.

2248860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17256 (or 17246 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 2248860480 is about 47422.1517858479. The cubic root of 2248860480 is about 1310.1494458800.

The spelling of 2248860480 in words is "two billion, two hundred forty-eight million, eight hundred sixty 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 96 120 137 160 192 240 274 320 411 480 548 685 822 960 1096 1370 1644 2055 2192 2740 3288 4110 4384 5480 6576 8220 8768 10960 13152 16440 17099 21920 26304 32880 34198 43840 51297 65760 68396 85495 102594 131520 136792 170990 205188 256485 273584 341980 410376 512970 547168 683960 820752 1025940 1094336 1367920 1641504 2051880 2342563 2735840 3283008 4103760 4685126 5471680 7027689 8207520 9370252 11712815 14055378 16415040 18740504 23425630 28110756 35138445 37481008 46851260 56221512 70276890 74962016 93702520 112443024 140553780 149924032 187405040 224886048 281107560 374810080 449772096 562215120 749620160 1124430240 2248860480