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202142412 = 223329233277
BaseRepresentation
bin11000000110001…
…11001011001100
3112002100220021000
430003013023030
5403222024122
632020340300
75003116323
oct1403071314
9462326230
10202142412
11a411664a
1257844690
1332b574c4
141cbbd0ba
1512b2e0ac
hexc0c72cc

202142412 has 96 divisors (see below), whose sum is σ = 546436800. Its totient is φ = 64544256.

The previous prime is 202142411. The next prime is 202142419. The reversal of 202142412 is 214241202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202142411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729618 + ... + 729894.

It is an arithmetic number, because the mean of its divisors is an integer number (5692050).

Almost surely, 2202142412 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 202142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273218400).

202142412 is an abundant number, since it is smaller than the sum of its proper divisors (344294388).

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

202142412 is a wasteful number, since it uses less digits than its factorization.

202142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 202142412 is about 14217.6795575087. The cubic root of 202142412 is about 586.8842858007.

Adding to 202142412 its reverse (214241202), we get a palindrome (416383614).

The spelling of 202142412 in words is "two hundred two million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 233 261 277 348 466 522 554 699 783 831 932 1044 1108 1398 1566 1662 2097 2493 2796 3132 3324 4194 4986 6291 6757 7479 8033 8388 9972 12582 13514 14958 16066 20271 24099 25164 27028 29916 32132 40542 48198 60813 64541 72297 81084 96396 121626 129082 144594 182439 193623 216891 243252 258164 289188 364878 387246 433782 580869 729756 774492 867564 1161738 1742607 1871689 2323476 3485214 3743378 5615067 6970428 7486756 11230134 16845201 22460268 33690402 50535603 67380804 101071206 202142412