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200154560148 = 223259216143607
BaseRepresentation
bin1011101001101000100…
…1000011011010010100
3201010122010010011011100
42322122021003122110
511234404031411043
6231541050510100
720314005455454
oct2723211033224
9633563104140
10200154560148
1177981038564
123295b435330
1315b4a35689a
14998a835d64
155316d04cd3
hex2e9a243694

200154560148 has 72 divisors (see below), whose sum is σ = 514771508160. Its totient is φ = 65555516160.

The previous prime is 200154560147. The next prime is 200154560149. The reversal of 200154560148 is 841065451002.

It is a happy number.

200154560148 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 5 + 4 + 5 + 601 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (200154560147) and next prime (200154560149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200154560147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4568161 + ... + 4611767.

It is an arithmetic number, because the mean of its divisors is an integer number (7149604280).

Almost surely, 2200154560148 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 200154560148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257385754080).

200154560148 is an abundant number, since it is smaller than the sum of its proper divisors (314616948012).

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

200154560148 is a wasteful number, since it uses less digits than its factorization.

200154560148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45837 (or 45832 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 200154560148 in words is "two hundred billion, one hundred fifty-four million, five hundred sixty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 2161 4322 6483 8644 12966 19449 25932 38898 43607 77796 87214 127499 130821 174428 254998 261642 382497 392463 509996 523284 764994 784926 1147491 1529988 1569852 2294982 2572813 4589964 5145626 7718439 10291252 15436878 23155317 30873756 46310634 92621268 94234727 188469454 282704181 376938908 565408362 848112543 1130816724 1696225086 3392450172 5559848893 11119697786 16679546679 22239395572 33359093358 50038640037 66718186716 100077280074 200154560148