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2200380 = 2235713231
BaseRepresentation
bin1000011001001100111100
311010210100120
420121030330
51030403010
6115054540
724463050
oct10311474
94123316
102200380
1112731a6
128a1450
135c0700
14413c60
152d6e70
hex21933c

2200380 has 144 divisors (see below), whose sum is σ = 7870464. Its totient is φ = 449280.

The previous prime is 2200369. The next prime is 2200391. The reversal of 2200380 is 830022.

2200380 = 1552 + 1562 + ... + 2172.

It is an interprime number because it is at equal distance from previous prime (2200369) and next prime (2200391).

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 47 ways as a sum of consecutive naturals, for example, 70965 + ... + 70995.

It is an arithmetic number, because the mean of its divisors is an integer number (54656).

22200380 is an apocalyptic number.

2200380 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 2200380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935232).

2200380 is an abundant number, since it is smaller than the sum of its proper divisors (5670084).

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

2200380 is a wasteful number, since it uses less digits than its factorization.

2200380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

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

The square root of 2200380 is about 1483.3677898620. The cubic root of 2200380 is about 130.0666325078.

The spelling of 2200380 in words is "two million, two hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 31 35 39 42 52 60 62 65 70 78 84 91 93 105 124 130 140 155 156 169 182 186 195 210 217 260 273 310 338 364 372 390 403 420 434 455 465 507 546 620 651 676 780 806 845 868 910 930 1014 1085 1092 1183 1209 1302 1365 1612 1690 1820 1860 2015 2028 2170 2366 2418 2535 2604 2730 2821 3255 3380 3549 4030 4340 4732 4836 5070 5239 5460 5642 5915 6045 6510 7098 8060 8463 10140 10478 11284 11830 12090 13020 14105 14196 15717 16926 17745 20956 23660 24180 26195 28210 31434 33852 35490 36673 42315 52390 56420 62868 70980 73346 78585 84630 104780 110019 146692 157170 169260 183365 220038 314340 366730 440076 550095 733460 1100190 2200380