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201964136 = 231173149211
BaseRepresentation
bin11000000100110…
…11101001101000
3112002000211201012
430002123221220
5403200323021
632012443052
75001444503
oct1402335150
9462024635
10201964136
11a4004710
1257779488
1332ac430a
141cb7413a
1512ae635b
hexc09ba68

201964136 has 64 divisors (see below), whose sum is σ = 423576000. Its totient is φ = 89510400.

The previous prime is 201964117. The next prime is 201964153. The reversal of 201964136 is 631469102.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957071 + ... + 957281.

It is an arithmetic number, because the mean of its divisors is an integer number (6618375).

Almost surely, 2201964136 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 201964136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211788000).

201964136 is an abundant number, since it is smaller than the sum of its proper divisors (221611864).

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

201964136 is a wasteful number, since it uses less digits than its factorization.

201964136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 201964136 is about 14211.4086564281. The cubic root of 201964136 is about 586.7117042445.

The spelling of 201964136 in words is "two hundred one million, nine hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 73 88 146 149 211 292 298 422 584 596 803 844 1192 1606 1639 1688 2321 3212 3278 4642 6424 6556 9284 10877 13112 15403 18568 21754 30806 31439 43508 61612 62878 87016 119647 123224 125756 169433 239294 251512 338866 345829 478588 677732 691658 957176 1355464 1383316 2295047 2766632 4590094 9180188 18360376 25245517 50491034 100982068 201964136