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997723716 = 22311233110601
BaseRepresentation
bin111011011110000…
…000111001000100
32120112101121122020
4323132000321010
54020404124331
6243000403140
733503340333
oct7336007104
92515347566
10997723716
11472209660
1223a1764b0
1312b921082
1496717d1a
155c8d1c96
hex3b780e44

997723716 has 96 divisors (see below), whose sum is σ = 2735824896. Its totient is φ = 279840000.

The previous prime is 997723703. The next prime is 997723823. The reversal of 997723716 is 617327799.

It is a super-2 number, since 2×9977237162 = 1990905226937697312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88816 + ... + 99416.

It is an arithmetic number, because the mean of its divisors is an integer number (28498176).

Almost surely, 2997723716 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 997723716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367912448).

997723716 is an abundant number, since it is smaller than the sum of its proper divisors (1738101180).

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

997723716 is a wasteful number, since it uses less digits than its factorization.

997723716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673 (or 10671 counting only the distinct ones).

The product of its digits is 1000188, while the sum is 51.

The square root of 997723716 is about 31586.7648865787. The cubic root of 997723716 is about 999.2406622187.

The spelling of 997723716 in words is "nine hundred ninety-seven million, seven hundred twenty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 124 132 138 186 253 276 341 372 506 682 713 759 1012 1023 1364 1426 1518 2046 2139 2852 3036 4092 4278 7843 8556 10601 15686 21202 23529 31372 31803 42404 47058 63606 94116 116611 127212 233222 243823 328631 349833 466444 487646 657262 699666 731469 975292 985893 1314524 1399332 1462938 1971786 2682053 2925876 3614941 3943572 5364106 7229882 7558513 8046159 10728212 10844823 14459764 15117026 16092318 21689646 22675539 30234052 32184636 43379292 45351078 83143643 90702156 166287286 249430929 332574572 498861858 997723716