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2472892224 = 263112295113
BaseRepresentation
bin1001001101100101…
…0101011101000000
320101100011221101220
42103121111131000
520031030022344
61045214355040
7115165144215
oct22331253500
96340157356
102472892224
111059979590
125901bba80
1330542aa4a
141965d5b0c
15e7173c19
hex93655740

2472892224 has 112 divisors (see below), whose sum is σ = 7170237120. Its totient is φ = 745943040.

The previous prime is 2472892223. The next prime is 2472892241. The reversal of 2472892224 is 4222982742.

It is a super-2 number, since 2×24728922242 = 12230391903039332352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472892223) 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, 481092 + ... + 486204.

Almost surely, 22472892224 is an apocalyptic number.

2472892224 is a gapful number since it is divisible by the number (24) 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 2472892224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585118560).

2472892224 is an abundant number, since it is smaller than the sum of its proper divisors (4697344896).

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

2472892224 is a wasteful number, since it uses less digits than its factorization.

2472892224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5358 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 2472892224 is about 49728.1833973452. The cubic root of 2472892224 is about 1352.2855156024.

The spelling of 2472892224 in words is "two billion, four hundred seventy-two million, eight hundred ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 229 264 352 458 528 687 704 916 1056 1374 1832 2112 2519 2748 3664 5038 5113 5496 7328 7557 10076 10226 10992 14656 15114 15339 20152 20452 21984 30228 30678 40304 40904 43968 56243 60456 61356 80608 81808 112486 120912 122712 161216 163616 168729 224972 241824 245424 327232 337458 449944 483648 490848 674916 899888 981696 1170877 1349832 1799776 2341754 2699664 3512631 3599552 4683508 5399328 7025262 9367016 10798656 12879647 14050524 18734032 25759294 28101048 37468064 38638941 51518588 56202096 74936128 77277882 103037176 112404192 154555764 206074352 224808384 309111528 412148704 618223056 824297408 1236446112 2472892224