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2200474368 = 28322334099
BaseRepresentation
bin1000001100101000…
…1001001100000000
312200100120200100200
42003022021030000
514001310134433
61002203445200
7105346503111
oct20312111400
95610520320
102200474368
11a2a123a64
12514b26800
13290b69551
1416c362208
15cd2b2613
hex83289300

2200474368 has 108 divisors (see below), whose sum is σ = 6373294200. Its totient is φ = 730165248.

The previous prime is 2200474343. The next prime is 2200474403. The reversal of 2200474368 is 8634740022.

2200474368 is a `hidden beast` number, since 220 + 0 + 4 + 74 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534783 + ... + 538881.

Almost surely, 22200474368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186647100).

2200474368 is an abundant number, since it is smaller than the sum of its proper divisors (4172819832).

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

2200474368 is a wasteful number, since it uses less digits than its factorization.

2200474368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2200474368 is about 46909.2141055465. The cubic root of 2200474368 is about 1300.6849187643.

The spelling of 2200474368 in words is "two billion, two hundred million, four hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 576 699 768 932 1152 1398 1864 2097 2304 2796 3728 4099 4194 5592 7456 8198 8388 11184 12297 14912 16396 16776 22368 24594 29824 32792 33552 36891 44736 49188 59648 65584 67104 73782 89472 98376 131168 134208 147564 178944 196752 262336 268416 295128 393504 524672 536832 590256 787008 955067 1049344 1180512 1574016 1910134 2361024 2865201 3148032 3820268 4722048 5730402 7640536 8595603 9444096 11460804 15281072 17191206 22921608 30562144 34382412 45843216 61124288 68764824 91686432 122248576 137529648 183372864 244497152 275059296 366745728 550118592 733491456 1100237184 2200474368