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2098278 = 233721361
BaseRepresentation
bin1000000000010001100110
310221121022000
420000101212
51014121103
6112550130
723556300
oct10002146
93847260
102098278
111203516
12852346
135860b0
143c8970
152b6aa3
hex200466

2098278 has 96 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 544320.

The previous prime is 2098277. The next prime is 2098279. The reversal of 2098278 is 8728902.

It is an interprime number because it is at equal distance from previous prime (2098277) and next prime (2098279).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34368 + ... + 34428.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

22098278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2098278 is an abundant number, since it is smaller than the sum of its proper divisors (3838842).

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

2098278 is a wasteful number, since it uses less digits than its factorization.

2098278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2098278 is about 1448.5434063224. The cubic root of 2098278 is about 128.0229044299.

The spelling of 2098278 in words is "two million, ninety-eight thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 61 63 78 91 98 117 122 126 147 182 183 189 234 273 294 351 366 378 427 441 546 549 637 702 793 819 854 882 1098 1274 1281 1323 1586 1638 1647 1911 2379 2457 2562 2646 2989 3294 3822 3843 4758 4914 5551 5733 5978 7137 7686 8967 11102 11466 11529 14274 16653 17199 17934 21411 23058 26901 33306 34398 38857 42822 49959 53802 77714 80703 99918 116571 149877 161406 233142 299754 349713 699426 1049139 2098278