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2254212240 = 243571778929
BaseRepresentation
bin1000011001011100…
…1000110010010000
312211002200211212020
42012113020302100
514104034242430
61011403331440
7106601326230
oct20627106220
95732624766
102254212240
11a57498025
1252ab20b80
1329c0330c7
1417554dcc0
15d2d79b10
hex865c8c90

2254212240 has 160 divisors (see below), whose sum is σ = 8456244480. Its totient is φ = 484933632.

The previous prime is 2254212227. The next prime is 2254212241. The reversal of 2254212240 is 422124522.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2254212240.

It is not an unprimeable number, because it can be changed into a prime (2254212241) 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, 10905 + ... + 68024.

It is an arithmetic number, because the mean of its divisors is an integer number (52851528).

Almost surely, 22254212240 is an apocalyptic number.

2254212240 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 2254212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228122240).

2254212240 is an abundant number, since it is smaller than the sum of its proper divisors (6202032240).

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

2254212240 is a wasteful number, since it uses less digits than its factorization.

2254212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78969 (or 78963 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2254212240 is about 47478.5450493167. The cubic root of 2254212240 is about 1311.1879052554.

Adding to 2254212240 its reverse (422124522), we get a palindrome (2676336762).

The spelling of 2254212240 in words is "two billion, two hundred fifty-four million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 78929 157858 236787 315716 394645 473574 552503 631432 789290 947148 1105006 1183935 1262864 1341793 1578580 1657509 1894296 2210012 2367870 2683586 2762515 3157160 3315018 3788592 4025379 4420024 4735740 5367172 5525030 6314320 6630036 6708965 8050758 8287545 8840048 9392551 9471480 10734344 11050060 13260072 13417930 16101516 16575090 18785102 18942960 20126895 21468688 22100120 26520144 26835860 28177653 32203032 33150180 37570204 40253790 44200240 46962755 53671720 56355306 64406064 66300360 75140408 80507580 93925510 107343440 112710612 132600720 140888265 150280816 161015160 187851020 225421224 281776530 322030320 375702040 450842448 563553060 751404080 1127106120 2254212240