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229050640 = 24571373431
BaseRepresentation
bin11011010011100…
…00100100010000
3120221222222102001
431221300210100
5432114110030
634421203344
75450620060
oct1551604420
9527888361
10229050640
11108325155
1264860554
13385b9130
14225c53a0
1515196cca
hexda70910

229050640 has 160 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 71331840.

The previous prime is 229050631. The next prime is 229050649. The reversal of 229050640 is 46050922.

It is an interprime number because it is at equal distance from previous prime (229050631) and next prime (229050649).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 229050599 and 229050608.

It is not an unprimeable number, because it can be changed into a prime (229050649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 531225 + ... + 531655.

Almost surely, 2229050640 is an apocalyptic number.

229050640 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 229050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

229050640 is an abundant number, since it is smaller than the sum of its proper divisors (436906736).

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

229050640 is a wasteful number, since it uses less digits than its factorization.

229050640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 229050640 is about 15134.4190506276. The cubic root of 229050640 is about 611.8484110578.

The spelling of 229050640 in words is "two hundred twenty-nine million, fifty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 73 80 91 104 112 130 140 146 182 208 260 280 292 364 365 431 455 511 520 560 584 728 730 862 910 949 1022 1040 1168 1456 1460 1724 1820 1898 2044 2155 2555 2920 3017 3448 3640 3796 4088 4310 4745 5110 5603 5840 6034 6643 6896 7280 7592 8176 8620 9490 10220 11206 12068 13286 15085 15184 17240 18980 20440 22412 24136 26572 28015 30170 31463 33215 34480 37960 39221 40880 44824 48272 53144 56030 60340 62926 66430 75920 78442 89648 106288 112060 120680 125852 132860 156884 157315 196105 220241 224120 241360 251704 265720 313768 314630 392210 409019 440482 448240 503408 531440 627536 629260 784420 818038 880964 1101205 1258520 1568840 1636076 1761928 2045095 2202410 2517040 2863133 3137680 3272152 3523856 4090190 4404820 5726266 6544304 8180380 8809640 11452532 14315665 16360760 17619280 22905064 28631330 32721520 45810128 57262660 114525320 229050640