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2200860816 = 2437114571303
BaseRepresentation
bin1000001100101110…
…0111100010010000
312200101022022110120
42003023213202100
514001410021231
61002220030240
7105353002560
oct20313474220
95611268416
102200860816
11a2a368340
12515092380
13290c7340b
1416c422da0
15cd33bd96
hex832e7890

2200860816 has 160 divisors (see below), whose sum is σ = 7109449728. Its totient is φ = 569963520.

The previous prime is 2200860803. The next prime is 2200860829. The reversal of 2200860816 is 6180680022.

It is an interprime number because it is at equal distance from previous prime (2200860803) and next prime (2200860829).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1688421 + ... + 1689723.

Almost surely, 22200860816 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 2200860816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554724864).

2200860816 is an abundant number, since it is smaller than the sum of its proper divisors (4908588912).

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

2200860816 is a wasteful number, since it uses less digits than its factorization.

2200860816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2200860816 is about 46913.3330301738. Note that the first 3 decimals coincide. The cubic root of 2200860816 is about 1300.7610565388.

The spelling of 2200860816 in words is "two billion, two hundred million, eight hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 457 462 528 616 914 924 1232 1303 1371 1828 1848 2606 2742 3199 3656 3696 3909 5027 5212 5484 6398 7312 7818 9121 9597 10054 10424 10968 12796 14333 15081 15636 18242 19194 20108 20848 21936 25592 27363 28666 30162 31272 35189 36484 38388 40216 42999 51184 54726 57332 60324 62544 70378 72968 76776 80432 85998 100331 105567 109452 114664 120648 140756 145936 153552 171996 200662 211134 218904 229328 241296 281512 300993 343992 401324 422268 437808 563024 595471 601986 687984 802648 844536 1190942 1203972 1605296 1689072 1786413 2381884 2407944 3572826 4168297 4763768 4815888 6550181 7145652 8336594 9527536 12504891 13100362 14291304 16673188 19650543 25009782 26200724 28582608 33346376 39301086 45851267 50019564 52401448 66692752 78602172 91702534 100039128 104802896 137553801 157204344 183405068 200078256 275107602 314408688 366810136 550215204 733620272 1100430408 2200860816