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2200313088 = 28321950263
BaseRepresentation
bin1000001100100110…
…0001110100000000
312200100021111010100
42003021201310000
514001240004323
61002200202400
7105345231651
oct20311416400
95610244110
102200313088
11a2a023876
12514a69400
13290b1100c
1416c31d528
15cd27e943
hex83261d00

2200313088 has 108 divisors (see below), whose sum is σ = 6678075040. Its totient is φ = 694821888.

The previous prime is 2200313083. The next prime is 2200313099. The reversal of 2200313088 is 8803130022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200313083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18645 + ... + 68907.

Almost surely, 22200313088 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 2200313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339037520).

2200313088 is an abundant number, since it is smaller than the sum of its proper divisors (4477761952).

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

2200313088 is a wasteful number, since it uses less digits than its factorization.

2200313088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50304 (or 50287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2200313088 is about 46907.4950087936. The cubic root of 2200313088 is about 1300.6531408302.

The spelling of 2200313088 in words is "two billion, two hundred million, three hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 43776 50263 100526 150789 201052 301578 402104 452367 603156 804208 904734 954997 1206312 1608416 1809468 1909994 2412624 2864991 3216832 3618936 3819988 4825248 5729982 6433664 7237872 7639976 8594973 9650496 11459964 12867328 14475744 15279952 17189946 19300992 22919928 28951488 30559904 34379892 38601984 45839856 57902976 61119808 68759784 91679712 115805952 122239616 137519568 183359424 244479232 275039136 366718848 550078272 733437696 1100156544 2200313088