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42225348 = 223111731607
BaseRepresentation
bin1010000100010…
…0111011000100
32221110021021210
42201010323010
541302202343
64105011420
71021623654
oct241047304
987407253
1042225348
1121920590
1212183b70
138995719
145872364
153a91333
hex2844ec4

42225348 has 96 divisors (see below), whose sum is σ = 117669888. Its totient is φ = 11635200.

The previous prime is 42225347. The next prime is 42225349. The reversal of 42225348 is 84352224.

It is an interprime number because it is at equal distance from previous prime (42225347) and next prime (42225349).

It is a super-2 number, since 2×422253482 = 3565960027442208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42225347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69261 + ... + 69867.

It is an arithmetic number, because the mean of its divisors is an integer number (1225728).

Almost surely, 242225348 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 42225348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58834944).

42225348 is an abundant number, since it is smaller than the sum of its proper divisors (75444540).

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

42225348 is a wasteful number, since it uses less digits than its factorization.

42225348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 42225348 is about 6498.1034156129. The cubic root of 42225348 is about 348.2232350220.

The spelling of 42225348 in words is "forty-two million, two hundred twenty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 124 132 186 187 204 341 372 374 527 561 607 682 748 1023 1054 1122 1214 1364 1581 1821 2046 2108 2244 2428 3162 3642 4092 5797 6324 6677 7284 10319 11594 13354 17391 18817 20031 20638 23188 26708 30957 34782 37634 40062 41276 56451 61914 69564 75268 80124 112902 113509 123828 206987 225804 227018 319889 340527 413974 454036 620961 639778 681054 827948 959667 1241922 1279556 1362108 1919334 2483844 3518779 3838668 7037558 10556337 14075116 21112674 42225348