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2198598032 = 241767223541
BaseRepresentation
bin1000001100001011…
…1111000110010000
312200020001100111202
42003002333012100
514000320114112
61002055330332
7105324526541
oct20302770620
95606040452
102198598032
11a29062274
125143809a8
132906604a7
1416bdd44c8
15cd0416c2
hex830bf190

2198598032 has 80 divisors (see below), whose sum is σ = 4606705152. Its totient is φ = 1012746240.

The previous prime is 2198598011. The next prime is 2198598067. The reversal of 2198598032 is 2308958912.

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 15 ways as a sum of consecutive naturals, for example, 4063682 + ... + 4064222.

Almost surely, 22198598032 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 2198598032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303352576).

2198598032 is an abundant number, since it is smaller than the sum of its proper divisors (2408107120).

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

2198598032 is a wasteful number, since it uses less digits than its factorization.

2198598032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 2198598032 is about 46889.2101874195. The cubic root of 2198598032 is about 1300.3151172984.

The spelling of 2198598032 in words is "two billion, one hundred ninety-eight million, five hundred ninety-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 223 268 272 446 536 541 892 1072 1082 1139 1784 2164 2278 3568 3791 4328 4556 7582 8656 9112 9197 14941 15164 18224 18394 29882 30328 36247 36788 59764 60656 72494 73576 119528 120643 144988 147152 239056 241286 253997 289976 482572 507994 579952 616199 965144 1015988 1232398 1930288 2031976 2050931 2464796 4063952 4101862 4929592 8083081 8203724 9859184 16166162 16407448 32332324 32814896 64664648 129329296 137412377 274824754 549649508 1099299016 2198598032