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201253374 = 232713911491
BaseRepresentation
bin10111111111011…
…10000111111110
3112000200201201200
423333232013332
5403010101444
631545320330
74662424350
oct1377560776
9460621650
10201253374
11a3669703
12574960a6
133290594a
141ca2b0d0
1512a05969
hexbfee1fe

201253374 has 48 divisors (see below), whose sum is σ = 501970560. Its totient is φ = 57082320.

The previous prime is 201253363. The next prime is 201253391. The reversal of 201253374 is 473352102.

It is a super-5 number, since 5×2012533745 (a number of 43 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11769 + ... + 23259.

It is an arithmetic number, because the mean of its divisors is an integer number (10457720).

Almost surely, 2201253374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201253374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250985280).

201253374 is an abundant number, since it is smaller than the sum of its proper divisors (300717186).

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

201253374 is a wasteful number, since it uses less digits than its factorization.

201253374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11645 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 201253374 is about 14186.3798764872. The cubic root of 201253374 is about 586.0226338293.

The spelling of 201253374 in words is "two hundred one million, two hundred fifty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 5838 8757 11491 17514 22982 34473 68946 80437 103419 160874 206838 241311 482622 723933 1447866 1597249 3194498 4791747 9583494 11180743 14375241 22361486 28750482 33542229 67084458 100626687 201253374