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1220003000 = 235367131139
BaseRepresentation
bin100100010110111…
…1100010010111000
310011000122120111022
41020231330102320
54444310044000
6321020522012
742142566026
oct11055742270
93130576438
101220003000
11576729347
122a06b0308
131659a9088
14b8059716
157218c585
hex48b7c4b8

1220003000 has 128 divisors (see below), whose sum is σ = 2940537600. Its totient is φ = 473616000.

The previous prime is 1220002999. The next prime is 1220003023. The reversal of 1220003000 is 3000221.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 8776931 + ... + 8777069.

It is an arithmetic number, because the mean of its divisors is an integer number (22972950).

Almost surely, 21220003000 is an apocalyptic number.

1220003000 is a gapful number since it is divisible by the number (10) 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 1220003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470268800).

1220003000 is an abundant number, since it is smaller than the sum of its proper divisors (1720534600).

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

1220003000 is a wasteful number, since it uses less digits than its factorization.

1220003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1220003000 is about 34928.5413379946. The cubic root of 1220003000 is about 1068.5306059922.

Adding to 1220003000 its reverse (3000221), we get a palindrome (1223003221).

It can be divided in two parts, 122000 and 3000, that added together give a cube (125000 = 503).

The spelling of 1220003000 in words is "one billion, two hundred twenty million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 131 134 139 200 250 262 268 278 335 500 524 536 556 655 670 695 1000 1048 1112 1310 1340 1390 1675 2620 2680 2780 3275 3350 3475 5240 5560 6550 6700 6950 8375 8777 9313 13100 13400 13900 16375 16750 17375 17554 18209 18626 26200 27800 32750 33500 34750 35108 36418 37252 43885 46565 65500 67000 69500 70216 72836 74504 87770 91045 93130 131000 139000 145672 175540 182090 186260 219425 232825 351080 364180 372520 438850 455225 465650 728360 877700 910450 931300 1097125 1164125 1220003 1755400 1820900 1862600 2194250 2276125 2328250 2440006 3641800 4388500 4552250 4656500 4880012 6100015 8777000 9104500 9313000 9760024 12200030 18209000 24400060 30500075 48800120 61000150 122000300 152500375 244000600 305000750 610001500 1220003000