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2214640 = 245193147
BaseRepresentation
bin1000011100101011110000
311011111220201
420130223300
51031332030
6115244544
724552451
oct10345360
94144821
102214640
11128298a
128a9754
135c704c
14419128
152db2ca
hex21caf0

2214640 has 80 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 794880.

The previous prime is 2214637. The next prime is 2214661. The reversal of 2214640 is 464122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

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, 47097 + ... + 47143.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

22214640 is an apocalyptic number.

2214640 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 2214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2214640 is an abundant number, since it is smaller than the sum of its proper divisors (3499280).

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

2214640 is a wasteful number, since it uses less digits than its factorization.

2214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2214640 is about 1488.1666573338. The cubic root of 2214640 is about 130.3470019366.

Adding to 2214640 its reverse (464122), we get a palindrome (2678762).

The spelling of 2214640 in words is "two million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 47 62 76 80 94 95 124 152 155 188 190 235 248 304 310 376 380 470 496 589 620 752 760 893 940 1178 1240 1457 1520 1786 1880 2356 2480 2914 2945 3572 3760 4465 4712 5828 5890 7144 7285 8930 9424 11656 11780 14288 14570 17860 23312 23560 27683 29140 35720 47120 55366 58280 71440 110732 116560 138415 221464 276830 442928 553660 1107320 2214640