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1681300224 = 2832977523
BaseRepresentation
bin110010000110110…
…1001101100000000
311100011122220022200
41210031221230000
511420403101344
6434500033200
756443546632
oct14415515400
94304586280
101681300224
1179306081a
123ab092800
1320a42cc06
1411d418a52
159c90d069
hex64369b00

1681300224 has 108 divisors (see below), whose sum is σ = 4898229336. Its totient is φ = 554582016.

The previous prime is 1681300189. The next prime is 1681300297. The reversal of 1681300224 is 4220031861.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219727 + ... + 227249.

Almost surely, 21681300224 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 1681300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449114668).

1681300224 is an abundant number, since it is smaller than the sum of its proper divisors (3216929112).

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

1681300224 is an equidigital number, since it uses as much as digits as its factorization.

1681300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1681300224 is about 41003.6611048331. The cubic root of 1681300224 is about 1189.0909951973.

The spelling of 1681300224 in words is "one billion, six hundred eighty-one million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 576 582 768 776 873 1152 1164 1552 1746 2304 2328 3104 3492 4656 6208 6984 7523 9312 12416 13968 15046 18624 22569 24832 27936 30092 37248 45138 55872 60184 67707 74496 90276 111744 120368 135414 180552 223488 240736 270828 361104 481472 541656 722208 729731 962944 1083312 1444416 1459462 1925888 2166624 2189193 2888832 2918924 4333248 4378386 5777664 5837848 6567579 8666496 8756772 11675696 13135158 17332992 17513544 23351392 26270316 35027088 46702784 52540632 70054176 93405568 105081264 140108352 186811136 210162528 280216704 420325056 560433408 840650112 1681300224