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225435454400 = 2652132833711
BaseRepresentation
bin1101000111110100000…
…0000000101111000000
3210112212222120122110002
43101331000000233000
512143142434020100
6251321424055132
722200333513512
oct3217500005700
9715788518402
10225435454400
11876744895a2
1237835a644a8
1318348b2b800
14aca821bbb2
155ce64b02d5
hex347d000bc0

225435454400 has 126 divisors (see below), whose sum is σ = 600665318352. Its totient is φ = 83237606400.

The previous prime is 225435454393. The next prime is 225435454421. The reversal of 225435454400 is 4454534522.

It is a super-2 number, since 2×2254354544002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 146456 + ... + 687255.

Almost surely, 2225435454400 is an apocalyptic number.

225435454400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225435454400 is an abundant number, since it is smaller than the sum of its proper divisors (375229863952).

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

225435454400 is a wasteful number, since it uses less digits than its factorization.

225435454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833759 (or 833731 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 38.

Adding to 225435454400 its reverse (4454534522), we get a palindrome (229889988922).

The spelling of 225435454400 in words is "two hundred twenty-five billion, four hundred thirty-five million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 169 200 208 260 320 325 338 400 416 520 650 676 800 832 845 1040 1300 1352 1600 1690 2080 2600 2704 3380 4160 4225 5200 5408 6760 8450 10400 10816 13520 16900 20800 27040 33800 54080 67600 135200 270400 833711 1667422 3334844 4168555 6669688 8337110 10838243 13339376 16674220 20842775 21676486 26678752 33348440 41685550 43352972 53357504 54191215 66696880 83371100 86705944 108382430 133393760 140897159 166742200 173411888 216764860 266787520 270956075 281794318 333484400 346823776 433529720 541912150 563588636 666968800 693647552 704485795 867059440 1083824300 1127177272 1333937600 1408971590 1734118880 2167648600 2254354544 2817943180 3468237760 3522428975 4335297200 4508709088 5635886360 7044857950 8670594400 9017418176 11271772720 14089715900 17341188800 22543545440 28179431800 45087090880 56358863600 112717727200 225435454400