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245214228 = 223721947467
BaseRepresentation
bin11101001110110…
…10110000010100
3122002102011200110
432213122300110
51000233323403
640155443020
76035200200
oct1647326024
9562364613
10245214228
11116465096
126a156470
133ba5829c
14247d1b00
15167db103
hexe9dac14

245214228 has 144 divisors (see below), whose sum is σ = 717050880. Its totient is φ = 64822464.

The previous prime is 245214223. The next prime is 245214257. The reversal of 245214228 is 822412542.

245214228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2452142282 = 120260035227271968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245214195 and 245214204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245214223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524851 + ... + 525317.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2245214228 is an apocalyptic number.

245214228 is a gapful number since it is divisible by the number (28) 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 245214228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358525440).

245214228 is an abundant number, since it is smaller than the sum of its proper divisors (471836652).

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

245214228 is a wasteful number, since it uses less digits than its factorization.

245214228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 545 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 245214228 is about 15659.3176096534. The cubic root of 245214228 is about 625.9148015943.

The spelling of 245214228 in words is "two hundred forty-five million, two hundred fourteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 49 57 76 84 94 98 114 133 141 147 188 196 228 266 282 294 329 399 467 532 564 588 658 798 893 931 934 987 1316 1401 1596 1786 1862 1868 1974 2303 2679 2793 2802 3269 3572 3724 3948 4606 5358 5586 5604 6251 6538 6909 8873 9212 9807 10716 11172 12502 13076 13818 17746 18753 19614 21949 22883 25004 26619 27636 35492 37506 39228 43757 43898 45766 53238 62111 65847 68649 75012 87514 87796 91532 106476 124222 131271 131694 137298 153643 175028 186333 248444 262542 263388 274596 307286 372666 417031 434777 460929 525084 614572 745332 834062 869554 921858 1075501 1251093 1304331 1668124 1739108 1843716 2151002 2502186 2608662 2919217 3226503 4302004 5004372 5217324 5838434 6453006 8757651 11676868 12906012 17515302 20434519 35030604 40869038 61303557 81738076 122607114 245214228