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2249495040 = 29351322531
BaseRepresentation
bin1000011000010100…
…1001001000000000
312210202211012002010
42012011021020000
514101332320130
61011114252520
7106513251402
oct20605111000
95722735063
102249495040
11a54865a11
12529427140
1329b070c70
14174a82b72
15d27470b0
hex86149200

2249495040 has 160 divisors (see below), whose sum is σ = 7744879296. Its totient is φ = 553697280.

The previous prime is 2249495023. The next prime is 2249495047. The reversal of 2249495040 is 405949422.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2249495040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249495047) 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, 88575 + ... + 111105.

Almost surely, 22249495040 is an apocalyptic number.

2249495040 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 2249495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872439648).

2249495040 is an abundant number, since it is smaller than the sum of its proper divisors (5495384256).

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

2249495040 is a wasteful number, since it uses less digits than its factorization.

2249495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22570 (or 22554 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2249495040 is about 47428.8418580931. The cubic root of 2249495040 is about 1310.2726623943.

The spelling of 2249495040 in words is "two billion, two hundred forty-nine million, four hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 22531 24960 33280 45062 49920 67593 90124 99840 112655 135186 180248 225310 270372 292903 337965 360496 450620 540744 585806 675930 720992 878709 901240 1081488 1171612 1351860 1441984 1464515 1757418 1802480 2162976 2343224 2703720 2883968 2929030 3514836 3604960 4325952 4393545 4686448 5407440 5767936 5858060 7029672 7209920 8651904 8787090 9372896 10814880 11535872 11716120 14059344 14419840 17303808 17574180 18745792 21629760 23432240 28118688 28839680 34607616 35148360 37491584 43259520 46864480 56237376 57679360 70296720 74983168 86519040 93728960 112474752 140593440 149966336 173038080 187457920 224949504 281186880 374915840 449899008 562373760 749831680 1124747520 2249495040