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200152368 = 243213313449
BaseRepresentation
bin10111110111000…
…01010100110000
3111221121210102200
423323201110300
5402214333433
631505543200
74650160413
oct1373412460
9457553380
10200152368
11a2a87489
1257044b00
133260b770
141c821b7a
1512889613
hexbee1530

200152368 has 120 divisors (see below), whose sum is σ = 622876800. Its totient is φ = 59581440.

The previous prime is 200152363. The next prime is 200152369. The reversal of 200152368 is 863251002.

200152368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200152361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56308 + ... + 59756.

It is an arithmetic number, because the mean of its divisors is an integer number (5190640).

Almost surely, 2200152368 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 200152368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311438400).

200152368 is an abundant number, since it is smaller than the sum of its proper divisors (422724432).

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

200152368 is a wasteful number, since it uses less digits than its factorization.

200152368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 200152368 is about 14147.5216204111. The cubic root of 200152368 is about 584.9520188568.

The spelling of 200152368 in words is "two hundred million, one hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3449 3627 4464 4836 6448 6898 7254 9672 10347 13796 14508 19344 20694 27592 29016 31041 41388 44837 55184 58032 62082 82776 89674 106919 124164 134511 165552 179348 213838 248328 269022 320757 358696 403533 427676 496656 538044 641514 717392 807066 855352 962271 1076088 1283028 1389947 1614132 1710704 1924542 2152176 2566056 2779894 3228264 3849084 4169841 5132112 5559788 6456528 7698168 8339682 11119576 12509523 15396336 16679364 22239152 25019046 33358728 50038092 66717456 100076184 200152368