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200836682240 = 295145353993
BaseRepresentation
bin1011101100001011001…
…1001001001000000000
3201012101122122112202112
42323002303021020000
511242303142312430
6232132455034452
720336630426555
oct2730263111000
9635348575675
10200836682240
11781a1086a27
1232b0b96ba28
1315c2877671c
149a13278a2c
155356b45195
hex2ec2cc9200

200836682240 has 80 divisors (see below), whose sum is σ = 481877660088. Its totient is φ = 80277897216.

The previous prime is 200836682219. The next prime is 200836682257. The reversal of 200836682240 is 42286638002.

It can be written as a sum of positive squares in 4 ways, for example, as 193895792896 + 6940889344 = 440336^2 + 83312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2008366822403 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3692684 + ... + 3746676.

Almost surely, 2200836682240 is an apocalyptic number.

200836682240 is a gapful number since it is divisible by the number (20) 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 200836682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240938830044).

200836682240 is an abundant number, since it is smaller than the sum of its proper divisors (281040977848).

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

200836682240 is an equidigital number, since it uses as much as digits as its factorization.

200836682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55469 (or 55453 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 200836682240 in words is "two hundred billion, eight hundred thirty-six million, six hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1453 2560 2906 5812 7265 11624 14530 23248 29060 46496 53993 58120 92992 107986 116240 185984 215972 232480 269965 371968 431944 464960 539930 743936 863888 929920 1079860 1727776 1859840 2159720 3455552 3719680 4319440 6911104 8638880 13822208 17277760 27644416 34555520 69111040 78451829 138222080 156903658 313807316 392259145 627614632 784518290 1255229264 1569036580 2510458528 3138073160 5020917056 6276146320 10041834112 12552292640 20083668224 25104585280 40167336448 50209170560 100418341120 200836682240