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2217120 = 253531149
BaseRepresentation
bin1000011101010010100000
311011122022120
420131102200
51031421440
6115304240
724562623
oct10352240
94148276
102217120
111284834
128ab080
135c8209
14419dba
152dbdd0
hex21d4a0

2217120 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 568320.

The previous prime is 2217113. The next prime is 2217143. The reversal of 2217120 is 217122.

It is a Cunningham number, because it is equal to 14892-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2217120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14806 + ... + 14954.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

22217120 is an apocalyptic number.

2217120 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 2217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2217120 is an abundant number, since it is smaller than the sum of its proper divisors (5040480).

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

2217120 is a wasteful number, since it uses less digits than its factorization.

2217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2217120 is about 1488.9996642041. Note that the first 3 decimals coincide. The cubic root of 2217120 is about 130.3956388821.

The spelling of 2217120 in words is "two million, two hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 149 155 160 186 240 248 298 310 372 447 465 480 496 596 620 744 745 894 930 992 1192 1240 1488 1490 1788 1860 2235 2384 2480 2976 2980 3576 3720 4470 4619 4768 4960 5960 7152 7440 8940 9238 11920 13857 14304 14880 17880 18476 23095 23840 27714 35760 36952 46190 55428 69285 71520 73904 92380 110856 138570 147808 184760 221712 277140 369520 443424 554280 739040 1108560 2217120