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2552247198 = 233374361487
BaseRepresentation
bin1001100000100000…
…0011001110011110
320120212111120222000
42120020003032132
520211333402243
61101131303130
7120150512634
oct23010031636
96525446860
102552247198
11109a74a106
125b28aaaa6
133189c3657
141a2d71354
15ee0eb5d3
hex9820339e

2552247198 has 128 divisors (see below), whose sum is σ = 6070563840. Its totient is φ = 793618560.

The previous prime is 2552247169. The next prime is 2552247199. The reversal of 2552247198 is 8917422552.

2552247198 is a `hidden beast` number, since 2 + 552 + 2 + 4 + 7 + 1 + 98 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552247199) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5240511 + ... + 5240997.

It is an arithmetic number, because the mean of its divisors is an integer number (47426280).

Almost surely, 22552247198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552247198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035281920).

2552247198 is an abundant number, since it is smaller than the sum of its proper divisors (3518316642).

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

2552247198 is a wasteful number, since it uses less digits than its factorization.

2552247198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 2552247198 is about 50519.7703676491. The cubic root of 2552247198 is about 1366.5984125210.

The spelling of 2552247198 in words is "two billion, five hundred fifty-two million, two hundred forty-seven thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 37 43 54 61 74 86 111 122 129 183 222 258 333 366 387 487 549 666 774 974 999 1098 1161 1461 1591 1647 1998 2257 2322 2623 2922 3182 3294 4383 4514 4773 5246 6771 7869 8766 9546 13149 13542 14319 15738 18019 20313 20941 23607 26298 28638 29707 36038 40626 41882 42957 47214 54057 59414 60939 62823 70821 85914 89121 97051 108114 121878 125646 141642 162171 178242 188469 194102 267363 291153 324342 376938 486513 534726 565407 582306 774817 802089 873459 973026 1099159 1130814 1277401 1549634 1604178 1746918 2198318 2324451 2554802 2620377 3297477 3832203 4648902 5240754 6594954 6973353 7664406 9892431 11496609 13946706 19784862 20920059 22993218 29677293 34489827 41840118 47263837 59354586 68979654 94527674 141791511 283583022 425374533 850749066 1276123599 2552247198