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2197006000 = 24537236823
BaseRepresentation
bin1000001011110011…
…1010011010110000
312200010001110122121
42002330322122300
513444413143000
61002001244024
7105305146210
oct20274723260
95603043577
102197006000
11a28175142
12513933614
13290223967
1416badc240
15ccd29b1a
hex82f3a6b0

2197006000 has 160 divisors (see below), whose sum is σ = 6336165888. Its totient is φ = 720403200.

The previous prime is 2197005997. The next prime is 2197006001. The reversal of 2197006000 is 6007912.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2197006001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318589 + ... + 325411.

Almost surely, 22197006000 is an apocalyptic number.

2197006000 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 2197006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168082944).

2197006000 is an abundant number, since it is smaller than the sum of its proper divisors (4139159888).

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

2197006000 is a wasteful number, since it uses less digits than its factorization.

2197006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 2197006000 is about 46872.2305848570. The cubic root of 2197006000 is about 1300.0011834309.

The spelling of 2197006000 in words is "two billion, one hundred ninety-seven million, six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 125 140 161 175 184 200 230 250 280 322 350 368 400 460 500 560 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 1840 2000 2300 2576 2800 2875 3220 3500 4025 4600 5750 6440 6823 7000 8050 9200 11500 12880 13646 14000 16100 20125 23000 27292 32200 34115 40250 46000 47761 54584 64400 68230 80500 95522 109168 136460 156929 161000 170575 191044 238805 272920 313858 322000 341150 382088 477610 545840 627716 682300 764176 784645 852875 955220 1098503 1194025 1255432 1364600 1569290 1705750 1910440 2197006 2388050 2510864 2729200 3138580 3411500 3820880 3923225 4394012 4776100 5492515 5970125 6277160 6823000 7846450 8788024 9552200 10985030 11940250 12554320 13646000 15692900 17576048 19104400 19616125 21970060 23880500 27462575 31385800 39232250 43940120 47761000 54925150 62771600 78464500 87880240 95522000 109850300 137312875 156929000 219700600 274625750 313858000 439401200 549251500 1098503000 2197006000