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215625000 = 2335823
BaseRepresentation
bin11001101101000…
…10110100101000
3120000201212220010
430312202310220
5420200000000
633221331520
75225532213
oct1466426450
9500655803
10215625000
11100795288
1260266ba0
1335898276
14208cc77a
1513de3d50
hexcda2d28

215625000 has 144 divisors (see below), whose sum is σ = 703124640. Its totient is φ = 55000000.

The previous prime is 215624993. The next prime is 215625019. The reversal of 215625000 is 526512.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 9374989 + ... + 9375011.

It is an arithmetic number, because the mean of its divisors is an integer number (4882810).

Almost surely, 2215625000 is an apocalyptic number.

215625000 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 215625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351562320).

215625000 is an abundant number, since it is smaller than the sum of its proper divisors (487499640).

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

215625000 is an frugal number, since it uses more digits than its factorization.

215625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 215625000 is about 14684.1751555884. The cubic root of 215625000 is about 599.6525766450.

It can be divided in two parts, 21562 and 5000, that added together give a palindrome (26562).

The spelling of 215625000 in words is "two hundred fifteen million, six hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 625 690 750 920 1000 1150 1250 1380 1500 1725 1875 2300 2500 2760 2875 3000 3125 3450 3750 4600 5000 5750 6250 6900 7500 8625 9375 11500 12500 13800 14375 15000 15625 17250 18750 23000 25000 28750 31250 34500 37500 43125 46875 57500 62500 69000 71875 75000 78125 86250 93750 115000 125000 143750 156250 172500 187500 215625 234375 287500 312500 345000 359375 375000 390625 431250 468750 575000 625000 718750 781250 862500 937500 1078125 1171875 1437500 1562500 1725000 1796875 1875000 2156250 2343750 2875000 3125000 3593750 4312500 4687500 5390625 7187500 8625000 8984375 9375000 10781250 14375000 17968750 21562500 26953125 35937500 43125000 53906250 71875000 107812500 215625000