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252202398 = 23741167877
BaseRepresentation
bin11110000100001…
…00110110011110
3122120120012122120
433002010312132
51004030434043
641005323410
76151453650
oct1702046636
9576505576
10252202398
1111a3a8438
1270566566
1340333cb6
14256d06d0
151721b983
hexf084d9e

252202398 has 64 divisors (see below), whose sum is σ = 594736128. Its totient is φ = 69799680.

The previous prime is 252202393. The next prime is 252202399. The reversal of 252202398 is 893202252.

252202398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252202393) 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, 287136 + ... + 288012.

It is an arithmetic number, because the mean of its divisors is an integer number (9292752).

Almost surely, 2252202398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252202398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297368064).

252202398 is an abundant number, since it is smaller than the sum of its proper divisors (342533730).

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

252202398 is a wasteful number, since it uses less digits than its factorization.

252202398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 252202398 is about 15880.8815246510. The cubic root of 252202398 is about 631.8050174960.

The spelling of 252202398 in words is "two hundred fifty-two million, two hundred two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 167 246 287 334 501 574 861 877 1002 1169 1722 1754 2338 2631 3507 5262 6139 6847 7014 12278 13694 18417 20541 35957 36834 41082 47929 71914 95858 107871 143787 146459 215742 251699 287574 292918 439377 503398 755097 878754 1025213 1510194 2050426 3075639 6004819 6151278 12009638 18014457 36028914 42033733 84067466 126101199 252202398