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116644224 = 2732347281
BaseRepresentation
bin1101111001111…
…01100110000000
322010111010210110
412330331212000
5214330103344
615324031320
72614313424
oct674754600
9263433713
10116644224
115a92a594
1233092540
131b220668
14116c4b84
15a3913b9
hex6f3d980

116644224 has 128 divisors (see below), whose sum is σ = 331361280. Its totient is φ = 36270080.

The previous prime is 116644219. The next prime is 116644237. The reversal of 116644224 is 422446611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116644191 and 116644200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414964 + ... + 415244.

It is an arithmetic number, because the mean of its divisors is an integer number (2588760).

Almost surely, 2116644224 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 116644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165680640).

116644224 is an abundant number, since it is smaller than the sum of its proper divisors (214717056).

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

116644224 is a wasteful number, since it uses less digits than its factorization.

116644224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 116644224 is about 10800.1955537851. The cubic root of 116644224 is about 488.6010689097.

The spelling of 116644224 in words is "one hundred sixteen million, six hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 64 69 92 94 96 128 138 141 184 188 192 276 281 282 368 376 384 552 562 564 736 752 843 1081 1104 1124 1128 1472 1504 1686 2162 2208 2248 2256 2944 3008 3243 3372 4324 4416 4496 4512 6016 6463 6486 6744 8648 8832 8992 9024 12926 12972 13207 13488 17296 17984 18048 19389 25852 25944 26414 26976 34592 35968 38778 39621 51704 51888 52828 53952 69184 77556 79242 103408 103776 105656 107904 138368 155112 158484 206816 207552 211312 303761 310224 316968 413632 415104 422624 607522 620448 633936 827264 845248 911283 1215044 1240896 1267872 1690496 1822566 2430088 2481792 2535744 3645132 4860176 5071488 7290264 9720352 14580528 19440704 29161056 38881408 58322112 116644224