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253200054000 = 24353231834783
BaseRepresentation
bin1110101111001111100…
…1100011011011110000
3220012112221120102221210
43223303321203123300
513122023203212000
6312152443520120
724202350643155
oct3536371433360
9805487512853
10253200054000
1198421914183
12410a4229040
131ab5204917a
14c37d81222c
1568bdc28350
hex3af3e636f0

253200054000 has 160 divisors (see below), whose sum is σ = 851809480704. Its totient is φ = 64584326400.

The previous prime is 253200053941. The next prime is 253200054031. The reversal of 253200054000 is 450002352.

It is a super-2 number, since 2×2532000540002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779392 + ... + 1055391.

Almost surely, 2253200054000 is an apocalyptic number.

253200054000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253200054000 is an abundant number, since it is smaller than the sum of its proper divisors (598609426704).

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

253200054000 is a wasteful number, since it uses less digits than its factorization.

253200054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834832 (or 1834816 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

Adding to 253200054000 its reverse (450002352), we get a palindrome (253650056352).

The spelling of 253200054000 in words is "two hundred fifty-three billion, two hundred million, fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 138000 1834783 3669566 5504349 7339132 9173915 11008698 14678264 18347830 22017396 27521745 29356528 36695660 42200009 44034792 45869575 55043490 73391320 84400018 88069584 91739150 110086980 126600027 137608725 146782640 168800036 183478300 211000045 220173960 229347875 253200054 275217450 337600072 366956600 422000090 440347920 458695750 506400108 550434900 633000135 675200144 688043625 733913200 844000180 917391500 1012800216 1055000225 1100869800 1266000270 1376087250 1688000360 1834783000 2025600432 2110000450 2201739600 2532000540 2752174500 3165000675 3376000720 3669566000 4220000900 5064001080 5275001125 5504349000 6330001350 8440001800 10128002160 10550002250 11008698000 12660002700 15825003375 16880003600 21100004500 25320005400 31650006750 42200009000 50640010800 63300013500 84400018000 126600027000 253200054000