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202041664 = 26111931487
BaseRepresentation
bin11000000101011…
…10100101000000
3112002011210001121
430002232211000
5403210313124
632014242024
75002216516
oct1402564500
9462153047
10202041664
11a4057990
12577b6314
1332b206a6
141cb944b6
1512b0e2e4
hexc0ae940

202041664 has 56 divisors (see below), whose sum is σ = 439936128. Its totient is φ = 91299840.

The previous prime is 202041661. The next prime is 202041667. The reversal of 202041664 is 466140202.

It is an interprime number because it is at equal distance from previous prime (202041661) and next prime (202041667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202041661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135129 + ... + 136615.

Almost surely, 2202041664 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 202041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219968064).

202041664 is an abundant number, since it is smaller than the sum of its proper divisors (237894464).

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

202041664 is a wasteful number, since it uses less digits than its factorization.

202041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 202041664 is about 14214.1360623852. The cubic root of 202041664 is about 586.7867683405.

Adding to 202041664 its reverse (466140202), we get a palindrome (668181866).

The spelling of 202041664 in words is "two hundred two million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 193 352 386 704 772 1487 1544 2123 2974 3088 4246 5948 6176 8492 11896 12352 16357 16984 23792 32714 33968 47584 65428 67936 95168 130856 135872 261712 286991 523424 573982 1046848 1147964 2295928 3156901 4591856 6313802 9183712 12627604 18367424 25255208 50510416 101020832 202041664