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2220264 = 233319541
BaseRepresentation
bin1000011110000011101000
311011210122000
420132003220
51032022024
6115331000
724605034
oct10360350
94153560
102220264
111287132
128b0a60
135c9787
1441b1c4
152dccc9
hex21e0e8

2220264 has 64 divisors (see below), whose sum is σ = 6504000. Its totient is φ = 699840.

The previous prime is 2220263. The next prime is 2220271. The reversal of 2220264 is 4620222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2220263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3834 + ... + 4374.

It is an arithmetic number, because the mean of its divisors is an integer number (101625).

22220264 is an apocalyptic number.

2220264 is a gapful number since it is divisible by the number (24) 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 2220264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252000).

2220264 is an abundant number, since it is smaller than the sum of its proper divisors (4283736).

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

2220264 is a wasteful number, since it uses less digits than its factorization.

2220264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2220264 is about 1490.0550325407. The cubic root of 2220264 is about 130.4572458703.

Adding to 2220264 its reverse (4620222), we get a palindrome (6840486).

The spelling of 2220264 in words is "two million, two hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 541 684 1026 1082 1368 1623 2052 2164 3246 4104 4328 4869 6492 9738 10279 12984 14607 19476 20558 29214 30837 38952 41116 58428 61674 82232 92511 116856 123348 185022 246696 277533 370044 555066 740088 1110132 2220264