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2416214025 = 32522921132
BaseRepresentation
bin1001000000000100…
…1000000000001001
320020101112101112100
42100001020000021
514422022322100
61035431504013
7113606323521
oct22001100011
96211471470
102416214025
11102a9873a5
12575228009
132c6774a54
1418cc80681
15e21ca400
hex90048009

2416214025 has 81 divisors (see below), whose sum is σ = 4522100479. Its totient is φ = 1233200640.

The previous prime is 2416213991. The next prime is 2416214033. The reversal of 2416214025 is 5204126142.

The square root of 2416214025 is 49155.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2415624201 + 589824 = 49149^2 + 768^2 .

It is not a de Polignac number, because 2416214025 - 211 = 2416211977 is a prime.

It is a Duffinian number.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2416214025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21382369 + ... + 21382481.

Almost surely, 22416214025 is an apocalyptic number.

2416214025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2416214025 is the 49155-th square number.

2416214025 is the 24578-th centered octagonal number.

It is an amenable number.

2416214025 is a deficient number, since it is larger than the sum of its proper divisors (2105886454).

2416214025 is a wasteful number, since it uses less digits than its factorization.

2416214025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 2416214025 is about 1341.8741920586.

The spelling of 2416214025 in words is "two billion, four hundred sixteen million, two hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 113 145 225 261 339 435 565 725 841 1017 1305 1695 2175 2523 2825 3277 4205 5085 6525 7569 8475 9831 12615 12769 16385 21025 25425 29493 37845 38307 49155 63075 63845 81925 95033 114921 147465 189225 191535 245775 285099 319225 370301 475165 574605 737325 855297 957675 1110903 1425495 1851505 2375825 2873025 3332709 4276485 5554515 7127475 9257525 10738729 16663545 21382425 27772575 32216187 53693645 83317725 96648561 161080935 268468225 483242805 805404675 2416214025