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74020224 = 273533637
BaseRepresentation
bin1000110100101…
…11010110000000
312011021121122210
410122113112000
5122422121344
611202302120
71556106255
oct432272600
9164247583
1074020224
1138867543
1220957940
1312448665
149b8b42c
156771db9
hex4697580

74020224 has 64 divisors (see below), whose sum is σ = 200381040. Its totient is φ = 24201216.

The previous prime is 74020223. The next prime is 74020237. The reversal of 74020224 is 42202047.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×740202242 = 10957987122020352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74020224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74020223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18534 + ... + 22170.

Almost surely, 274020224 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 74020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100190520).

74020224 is an abundant number, since it is smaller than the sum of its proper divisors (126360816).

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

74020224 is a wasteful number, since it uses less digits than its factorization.

74020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 74020224 is about 8603.5006828616. The cubic root of 74020224 is about 419.8718883640.

The spelling of 74020224 in words is "seventy-four million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 3637 5088 6784 7274 10176 10911 14548 20352 21822 29096 43644 58192 87288 116384 174576 192761 232768 349152 385522 465536 578283 698304 771044 1156566 1396608 1542088 2313132 3084176 4626264 6168352 9252528 12336704 18505056 24673408 37010112 74020224