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2234414000 = 245371312277
BaseRepresentation
bin1000010100101110…
…0111001110110000
312202201102222210002
42011023213032300
514034002222000
61005415125132
7106241130350
oct20513471660
95681388702
102234414000
11a472a5345
125243737a8
13297bc0780
14172a78b60
15d12688d5
hex852e73b0

2234414000 has 160 divisors (see below), whose sum is σ = 6650157696. Its totient is φ = 707097600.

The previous prime is 2234413969. The next prime is 2234414029. The reversal of 2234414000 is 4144322.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175862 + ... + 188138.

Almost surely, 22234414000 is an apocalyptic number.

2234414000 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 2234414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325078848).

2234414000 is an abundant number, since it is smaller than the sum of its proper divisors (4415743696).

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

2234414000 is a wasteful number, since it uses less digits than its factorization.

2234414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 12304 counting only the distinct ones).

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

The square root of 2234414000 is about 47269.5885321630. The cubic root of 2234414000 is about 1307.3379891806.

Adding to 2234414000 its reverse (4144322), we get a palindrome (2238558322).

The spelling of 2234414000 in words is "two billion, two hundred thirty-four million, four hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 12277 13000 14000 18200 22750 24554 26000 36400 45500 49108 61385 85939 91000 98216 122770 159601 171878 182000 196432 245540 306925 319202 343756 429695 491080 613850 638404 687512 798005 859390 982160 1117207 1227700 1276808 1375024 1534625 1596010 1718780 2148475 2234414 2455400 2553616 3069250 3192020 3437560 3990025 4296950 4468828 4910800 5586035 6138500 6384040 6875120 7980050 8593900 8937656 10742375 11172070 12277000 12768080 15960100 17187800 17875312 19950125 21484750 22344140 24554000 27930175 31920200 34375600 39900250 42969500 44688280 55860350 63840400 79800500 85939000 89376560 111720700 139650875 159601000 171878000 223441400 279301750 319202000 446882800 558603500 1117207000 2234414000