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2212140300 = 22352172914957
BaseRepresentation
bin1000001111011010…
…1001010100001100
312201011112101000020
42003312221110030
514012301442200
61003301502140
7105550611426
oct20366512414
95634471006
102212140300
11a35771827
12518a11950
132933c2476
1416db1b816
15ce318ea0
hex83da950c

2212140300 has 144 divisors (see below), whose sum is σ = 7011113760. Its totient is φ = 536023040.

The previous prime is 2212140269. The next prime is 2212140347. The reversal of 2212140300 is 30412122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212140300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140422 + ... + 155378.

It is an arithmetic number, because the mean of its divisors is an integer number (48688290).

Almost surely, 22212140300 is an apocalyptic number.

2212140300 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 2212140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505556880).

2212140300 is an abundant number, since it is smaller than the sum of its proper divisors (4798973460).

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

2212140300 is a wasteful number, since it uses less digits than its factorization.

2212140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15020 (or 15013 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2212140300 is about 47033.3955822881. The cubic root of 2212140300 is about 1302.9794188361.

Adding to 2212140300 its reverse (30412122), we get a palindrome (2242552422).

The spelling of 2212140300 in words is "two billion, two hundred twelve million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 145 150 170 174 204 255 290 300 340 348 425 435 493 510 580 725 850 870 986 1020 1275 1450 1479 1700 1740 1972 2175 2465 2550 2900 2958 4350 4930 5100 5916 7395 8700 9860 12325 14790 14957 24650 29580 29914 36975 44871 49300 59828 73950 74785 89742 147900 149570 179484 224355 254269 299140 373925 433753 448710 508538 747850 762807 867506 897420 1017076 1121775 1271345 1301259 1495700 1525614 1735012 2168765 2243550 2542690 2602518 3051228 3814035 4337530 4487100 5085380 5205036 6356725 6506295 7373801 7628070 8675060 10843825 12713450 13012590 14747602 15256140 19070175 21687650 22121403 25426900 26025180 29495204 32531475 36869005 38140350 43375300 44242806 65062950 73738010 76280700 88485612 110607015 130125900 147476020 184345025 221214030 368690050 442428060 553035075 737380100 1106070150 2212140300