Search a number
-
+
201956652 = 22342341661
BaseRepresentation
bin11000000100110…
…01110100101100
3112002000110110000
430002121310230
5403200103102
632012344300
75001413622
oct1402316454
9462013400
10201956652
11a3aaa027
1257775090
1332ac0aa1
141cb71512
1512ae401c
hexc099d2c

201956652 has 120 divisors (see below), whose sum is σ = 565199712. Its totient is φ = 62726400.

The previous prime is 201956641. The next prime is 201956701. The reversal of 201956652 is 256659102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 305202 + ... + 305862.

Almost surely, 2201956652 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 201956652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282599856).

201956652 is an abundant number, since it is smaller than the sum of its proper divisors (363243060).

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

201956652 is a wasteful number, since it uses less digits than its factorization.

201956652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 201956652 is about 14211.1453444119. The cubic root of 201956652 is about 586.7044570755.

The spelling of 201956652 in words is "two hundred one million, nine hundred fifty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 41 46 54 69 81 82 92 108 123 138 162 164 207 246 276 324 369 414 492 621 661 738 828 943 1107 1242 1322 1476 1863 1886 1983 2214 2484 2644 2829 3321 3726 3772 3966 4428 5658 5949 6642 7452 7932 8487 11316 11898 13284 15203 16974 17847 23796 25461 27101 30406 33948 35694 45609 50922 53541 54202 60812 71388 76383 81303 91218 101844 107082 108404 136827 152766 162606 182436 214164 243909 273654 305532 325212 410481 487818 547308 623323 731727 820962 975636 1231443 1246646 1463454 1641924 1869969 2195181 2462886 2493292 2926908 3739938 4390362 4925772 5609907 7479876 8780724 11219814 16829721 22439628 33659442 50489163 67318884 100978326 201956652