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202161144 = 23317641773
BaseRepresentation
bin11000000110010…
…11101111111000
3112002101211221210
430003023233320
5403223124034
632021003120
75003225043
oct1403135770
9462354853
10202161144
11a4129729
12578534a0
1332b62ba3
141cbc5c5a
1512b348e9
hexc0cbbf8

202161144 has 64 divisors (see below), whose sum is σ = 536660640. Its totient is φ = 63242240.

The previous prime is 202161143. The next prime is 202161187. The reversal of 202161144 is 441161202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 202161144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202161143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261142 + ... + 261914.

Almost surely, 2202161144 is an apocalyptic number.

202161144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202161144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268330320).

202161144 is an abundant number, since it is smaller than the sum of its proper divisors (334499496).

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

202161144 is a wasteful number, since it uses less digits than its factorization.

202161144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 202161144 is about 14218.3382995342. The cubic root of 202161144 is about 586.9024135763.

The spelling of 202161144 in words is "two hundred two million, one hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 641 773 1282 1546 1923 2319 2564 3092 3846 4638 5128 6184 7692 9276 10897 13141 15384 18552 21794 26282 32691 39423 43588 52564 65382 78846 87176 105128 130764 157692 261528 315384 495493 990986 1486479 1981972 2972958 3963944 5945916 8423381 11891832 16846762 25270143 33693524 50540286 67387048 101080572 202161144