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2238960 = 243519491
BaseRepresentation
bin1000100010100111110000
311012202021110
420202213300
51033121320
6115553320
725013403
oct10424760
94182243
102238960
11129a189
128bb840
13605139
14423d3a
152e35e0
hex2229f0

2238960 has 80 divisors (see below), whose sum is σ = 7320960. Its totient is φ = 564480.

The previous prime is 2238959. The next prime is 2238961. The reversal of 2238960 is 698322.

It is an interprime number because it is at equal distance from previous prime (2238959) and next prime (2238961).

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 (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238961) 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, 4315 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (91512).

22238960 is an apocalyptic number.

2238960 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 2238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660480).

2238960 is an abundant number, since it is smaller than the sum of its proper divisors (5082000).

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

2238960 is a wasteful number, since it uses less digits than its factorization.

2238960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2238960 is about 1496.3154747579. The cubic root of 2238960 is about 130.8223998148.

The spelling of 2238960 in words is "two million, two hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 491 570 760 912 982 1140 1473 1520 1964 2280 2455 2946 3928 4560 4910 5892 7365 7856 9329 9820 11784 14730 18658 19640 23568 27987 29460 37316 39280 46645 55974 58920 74632 93290 111948 117840 139935 149264 186580 223896 279870 373160 447792 559740 746320 1119480 2238960