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332214000 = 24353173257
BaseRepresentation
bin10011110011010…
…010111011110000
3212011010012221020
4103303102323300
51140021322000
652544255440
711142525636
oct2363227360
9764105836
10332214000
11160587328
1293311580
1353a99741
143219b356
151e273ba0
hex13cd2ef0

332214000 has 160 divisors (see below), whose sum is σ = 1134409536. Its totient is φ = 83353600.

The previous prime is 332213989. The next prime is 332214013. The reversal of 332214000 is 412233.

332214000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3322140002 = 220732283592000000, which contains 22 as substring.

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

It is a congruent number.

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, 100372 + ... + 103628.

Almost surely, 2332214000 is an apocalyptic number.

332214000 is a gapful number since it is divisible by the number (30) 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 332214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567204768).

332214000 is an abundant number, since it is smaller than the sum of its proper divisors (802195536).

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

332214000 is a wasteful number, since it uses less digits than its factorization.

332214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 332214000 is about 18226.7386001994. The cubic root of 332214000 is about 692.5843016227.

Adding to 332214000 its reverse (412233), we get a palindrome (332626233).

The spelling of 332214000 in words is "three hundred thirty-two million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3257 3400 4080 4250 5100 6000 6375 6514 6800 8500 9771 10200 12750 13028 16285 17000 19542 20400 25500 26056 32570 34000 39084 48855 51000 52112 55369 65140 78168 81425 97710 102000 110738 130280 156336 162850 166107 195420 221476 244275 260560 276845 325700 332214 390840 407125 442952 488550 553690 651400 664428 781680 814250 830535 885904 977100 1107380 1221375 1302800 1328856 1384225 1628500 1661070 1954200 2214760 2442750 2657712 2768450 3257000 3322140 3908400 4152675 4429520 4885500 5536900 6514000 6644280 6921125 8305350 9771000 11073800 13288560 13842250 16610700 19542000 20763375 22147600 27684500 33221400 41526750 55369000 66442800 83053500 110738000 166107000 332214000