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2198375088 = 2437131926489
BaseRepresentation
bin1000001100001000…
…1000101010110000
312200012122000200120
42003002020222300
514000241000323
61002050450240
7105322610550
oct20302105260
95605560616
102198375088
11a28a1a818
12514293980
132905b2b80
1416bd77160
15cceea5e3
hex83088ab0

2198375088 has 160 divisors (see below), whose sum is σ = 7357862400. Its totient is φ = 549255168.

The previous prime is 2198375063. The next prime is 2198375143. The reversal of 2198375088 is 8805738912.

It is a self number, because there is not a number n which added to its sum of digits gives 2198375088.

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, 69748 + ... + 96236.

It is an arithmetic number, because the mean of its divisors is an integer number (45986640).

Almost surely, 22198375088 is an apocalyptic number.

2198375088 is a gapful number since it is divisible by the number (28) 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 2198375088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678931200).

2198375088 is an abundant number, since it is smaller than the sum of its proper divisors (5159487312).

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

2198375088 is a wasteful number, since it uses less digits than its factorization.

2198375088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26539 (or 26533 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 2198375088 is about 46886.8327785104. The cubic root of 2198375088 is about 1300.2711639474.

The spelling of 2198375088 in words is "two billion, one hundred ninety-eight million, three hundred seventy-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 20748 26489 27664 41496 52978 79467 82992 105956 158934 185423 211912 317868 344357 370846 423824 503291 556269 635736 688714 741692 1006582 1033071 1112538 1271472 1377428 1483384 1509873 2013164 2066142 2225076 2410499 2754856 2966768 3019746 3523037 4026328 4132284 4450152 4820998 5509712 6039492 6542783 7046074 7231497 8052656 8264568 8900304 9641996 10569111 12078984 13085566 14092148 14462994 16529136 19283992 19628349 21138222 24157968 26171132 28184296 28925988 38567984 39256698 42276444 45799481 52342264 56368592 57851976 78513396 84552888 91598962 104684528 115703952 137398443 157026792 169105776 183197924 274796886 314053584 366395848 549593772 732791696 1099187544 2198375088