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201474252 = 2232719291451
BaseRepresentation
bin11000000001001…
…00000011001100
3112001002221201100
430000210003030
5403034134002
631554143100
74664334330
oct1400440314
9461087640
10201474252
11a37aa651
1257581a90
1332982345
141ca877c0
1512a4b11c
hexc0240cc

201474252 has 144 divisors (see below), whose sum is σ = 634233600. Its totient is φ = 52617600.

The previous prime is 201474211. The next prime is 201474257. The reversal of 201474252 is 252474102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201474257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138127 + ... + 139577.

It is an arithmetic number, because the mean of its divisors is an integer number (4404400).

Almost surely, 2201474252 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 201474252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317116800).

201474252 is an abundant number, since it is smaller than the sum of its proper divisors (432759348).

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

201474252 is a wasteful number, since it uses less digits than its factorization.

201474252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 201474252 is about 14194.1626029858. The cubic root of 201474252 is about 586.2369444101.

The spelling of 201474252 in words is "two hundred one million, four hundred seventy-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 29 36 38 42 57 58 63 76 84 87 114 116 126 133 171 174 203 228 252 261 266 342 348 399 406 522 532 551 609 684 798 812 1044 1102 1197 1218 1451 1596 1653 1827 2204 2394 2436 2902 3306 3654 3857 4353 4788 4959 5804 6612 7308 7714 8706 9918 10157 11571 13059 15428 17412 19836 20314 23142 26118 27569 30471 34713 40628 42079 46284 52236 55138 60942 69426 82707 84158 91413 110276 121884 126237 138852 165414 168316 182826 192983 248121 252474 294553 330828 365652 378711 385966 496242 504948 578949 589106 757422 771932 799501 883659 992484 1157898 1178212 1514844 1599002 1736847 1767318 2315796 2398503 2650977 3198004 3473694 3534636 4797006 5301954 5596507 6947388 7195509 9594012 10603908 11193014 14391018 16789521 22386028 28782036 33579042 50368563 67158084 100737126 201474252