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2234421200 = 2452111792837
BaseRepresentation
bin1000010100101110…
…1000111111010000
312202201110100122202
42011023220333100
514034002434300
61005415222332
7106241160344
oct20513507720
95681410582
102234421200
11a472aa7a0
125243779a8
13297bc3b2b
14172a7b624
15d126aad5
hex852e8fd0

2234421200 has 120 divisors (see below), whose sum is σ = 5891006880. Its totient is φ = 807692800.

The previous prime is 2234421173. The next prime is 2234421221. The reversal of 2234421200 is 21244322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786182 + ... + 789018.

It is an arithmetic number, because the mean of its divisors is an integer number (49091724).

Almost surely, 22234421200 is an apocalyptic number.

2234421200 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 2234421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945503440).

2234421200 is an abundant number, since it is smaller than the sum of its proper divisors (3656585680).

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

2234421200 is a wasteful number, since it uses less digits than its factorization.

2234421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2234421200 is about 47269.6646910045. The cubic root of 2234421200 is about 1307.3393934001.

Adding to 2234421200 its reverse (21244322), we get a palindrome (2255665522).

The spelling of 2234421200 in words is "two billion, two hundred thirty-four million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 179 200 220 275 358 400 440 550 716 880 895 1100 1432 1790 1969 2200 2837 2864 3580 3938 4400 4475 5674 7160 7876 8950 9845 11348 14185 14320 15752 17900 19690 22696 28370 31207 31504 35800 39380 45392 49225 56740 62414 70925 71600 78760 98450 113480 124828 141850 156035 157520 196900 226960 249656 283700 312070 393800 499312 507823 567400 624140 780175 787600 1015646 1134800 1248280 1560350 2031292 2496560 2539115 3120700 4062584 5078230 5586053 6241400 8125168 10156460 11172106 12482800 12695575 20312920 22344212 25391150 27930265 40625840 44688424 50782300 55860530 89376848 101564600 111721060 139651325 203129200 223442120 279302650 446884240 558605300 1117210600 2234421200