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225154240 = 2653122697
BaseRepresentation
bin11010110101110…
…01010011000000
3120200200000112221
431122321103000
5430114413430
634201500424
75402531233
oct1532712300
9520600487
10225154240
11106103793
12634a1714
133785377c
1421c8d41a
1514b7757a
hexd6b94c0

225154240 has 56 divisors (see below), whose sum is σ = 553468032. Its totient is φ = 87152640.

The previous prime is 225154219. The next prime is 225154261. The reversal of 225154240 is 42451522.

It is an interprime number because it is at equal distance from previous prime (225154219) and next prime (225154261).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429 + ... + 21268.

Almost surely, 2225154240 is an apocalyptic number.

225154240 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 225154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276734016).

225154240 is an abundant number, since it is smaller than the sum of its proper divisors (328313792).

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

225154240 is a wasteful number, since it uses less digits than its factorization.

225154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22745 (or 22735 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 225154240 is about 15005.1404525249. The cubic root of 225154240 is about 608.3591483801.

The spelling of 225154240 in words is "two hundred twenty-five million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 22697 45394 90788 113485 181576 226970 363152 453940 703607 726304 907880 1407214 1452608 1815760 2814428 3518035 3631520 5628856 7036070 7263040 11257712 14072140 22515424 28144280 45030848 56288560 112577120 225154240