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202438802225 = 521111311235801
BaseRepresentation
bin1011110010001001001…
…0101111101100110001
3201100112022022200012202
42330202102233230301
511304043313132400
6232555450032545
720424423266402
oct2744222575461
9640468280182
10202438802225
1178943476430
1233298418755
131612267240a
149b25d619a9
1553ec6124d5
hex2f224afb31

202438802225 has 48 divisors (see below), whose sum is σ = 276561566784. Its totient is φ = 145770240000.

The previous prime is 202438802147. The next prime is 202438802227. The reversal of 202438802225 is 522208834202.

It is a de Polignac number, because none of the positive numbers 2k-202438802225 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202438802227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34894325 + ... + 34900125.

It is an arithmetic number, because the mean of its divisors is an integer number (5761699308).

Almost surely, 2202438802225 is an apocalyptic number.

202438802225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202438802225 is a deficient number, since it is larger than the sum of its proper divisors (74122764559).

202438802225 is a wasteful number, since it uses less digits than its factorization.

202438802225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The spelling of 202438802225 in words is "two hundred two billion, four hundred thirty-eight million, eight hundred two thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 113 275 565 1123 1243 2825 5615 5801 6215 12353 28075 29005 31075 61765 63811 126899 145025 308825 319055 634495 655513 1395889 1595275 3172475 3277565 6514523 6979445 7210643 16387825 32572615 34897225 36053215 71659753 162863075 180266075 358298765 736141099 1791493825 3680705495 8097552089 18403527475 40487760445 202438802225