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253222545200 = 24523143474911
BaseRepresentation
bin1110101111010100111…
…1010110011100110000
3220012121111220010002012
43223311033112130300
513122044432421300
6312155005542052
724203043056162
oct3536517263460
9805544803065
10253222545200
1198433586149
12410ab874928
131ab568c2481
14c3827c8932
1568c0bbc435
hex3af53d6730

253222545200 has 120 divisors (see below), whose sum is σ = 642597728256. Its totient is φ = 95741856000.

The previous prime is 253222545179. The next prime is 253222545221. The reversal of 253222545200 is 2545222352.

253222545200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253222545179) and next prime (253222545221).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295745 + ... + 770655.

Almost surely, 2253222545200 is an apocalyptic number.

253222545200 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 253222545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321298864128).

253222545200 is an abundant number, since it is smaller than the sum of its proper divisors (389375183056).

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

253222545200 is a wasteful number, since it uses less digits than its factorization.

253222545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475003 (or 474992 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 253222545200 its reverse (2545222352), we get a palindrome (255767767552).

The spelling of 253222545200 in words is "two hundred fifty-three billion, two hundred twenty-two million, five hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 43 50 62 80 86 100 124 155 172 200 215 248 310 344 400 430 496 620 688 775 860 1075 1240 1333 1550 1720 2150 2480 2666 3100 3440 4300 5332 6200 6665 8600 10664 12400 13330 17200 21328 26660 33325 53320 66650 106640 133300 266600 474911 533200 949822 1899644 2374555 3799288 4749110 7598576 9498220 11872775 14722241 18996440 20421173 23745550 29444482 37992880 40842346 47491100 58888964 73611205 81684692 94982200 102105865 117777928 147222410 163369384 189964400 204211730 235555856 294444820 326738768 368056025 408423460 510529325 588889640 633056363 736112050 816846920 1021058650 1177779280 1266112726 1472224100 1633693840 2042117300 2532225452 2944448200 3165281815 4084234600 5064450904 5888896400 6330563630 8168469200 10128901808 12661127260 15826409075 25322254520 31652818150 50644509040 63305636300 126611272600 253222545200