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2216049880 = 2351131374391
BaseRepresentation
bin1000010000010110…
…0011110011011000
312201102212222221111
42010011203303120
514014302044010
61003521350104
7105626053552
oct20405436330
95642788844
102216049880
11a379a2090
1251a198334
13294160b25
141704584d2
15ce83c58a
hex84163cd8

2216049880 has 128 divisors (see below), whose sum is σ = 5767925760. Its totient is φ = 758592000.

The previous prime is 2216049851. The next prime is 2216049881. The reversal of 2216049880 is 889406122.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216049881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 502485 + ... + 506875.

It is an arithmetic number, because the mean of its divisors is an integer number (45061920).

Almost surely, 22216049880 is an apocalyptic number.

2216049880 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 2216049880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883962880).

2216049880 is an abundant number, since it is smaller than the sum of its proper divisors (3551875880).

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

2216049880 is a wasteful number, since it uses less digits than its factorization.

2216049880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 2216049880 is about 47074.9389803110. The cubic root of 2216049880 is about 1303.7465649094.

The spelling of 2216049880 in words is "two billion, two hundred sixteen million, forty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 31 37 40 44 55 62 74 88 110 124 148 155 185 220 248 296 310 341 370 407 440 620 682 740 814 1147 1240 1364 1480 1628 1705 2035 2294 2728 3256 3410 4070 4391 4588 5735 6820 8140 8782 9176 11470 12617 13640 16280 17564 21955 22940 25234 35128 43910 45880 48301 50468 63085 87820 96602 100936 126170 136121 162467 175640 193204 241505 252340 272242 324934 386408 483010 504680 544484 649868 680605 812335 966020 1088968 1299736 1361210 1497331 1624670 1787137 1932040 2722420 2994662 3249340 3574274 5036477 5444840 5989324 6498680 7148548 7486655 8935685 10072954 11978648 14297096 14973310 17871370 20145908 25182385 29946620 35742740 40291816 50364770 55401247 59893240 71485480 100729540 110802494 201459080 221604988 277006235 443209976 554012470 1108024940 2216049880