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202101216 = 25371149199
BaseRepresentation
bin11000000101111…
…01000111100000
3112002021210202020
430002331013200
5403214214331
632015421440
75002555242
oct1402750740
9462253666
10202101216
11a40986a9
1257824880
1332b41825
141cbac092
1512b21c96
hexc0bd1e0

202101216 has 96 divisors (see below), whose sum is σ = 544320000. Its totient is φ = 65640960.

The previous prime is 202101199. The next prime is 202101217. The reversal of 202101216 is 612101202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 202101195 and 202101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101217) 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, 1015485 + ... + 1015683.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2202101216 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 202101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160000).

202101216 is an abundant number, since it is smaller than the sum of its proper divisors (342218784).

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

202101216 is a wasteful number, since it uses less digits than its factorization.

202101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 202101216 is about 14216.2307240703. The cubic root of 202101216 is about 586.8444146897.

Adding to 202101216 its reverse (612101202), we get a palindrome (814202418).

The spelling of 202101216 in words is "two hundred two million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 149 199 213 284 298 398 426 447 568 596 597 796 852 894 1136 1192 1194 1592 1704 1788 2272 2384 2388 3184 3408 3576 4768 4776 6368 6816 7152 9552 10579 14129 14304 19104 21158 28258 29651 31737 42316 42387 56516 59302 63474 84632 84774 88953 113032 118604 126948 169264 169548 177906 226064 237208 253896 338528 339096 355812 452128 474416 507792 678192 711624 948832 1015584 1356384 1423248 2105221 2846496 4210442 6315663 8420884 12631326 16841768 25262652 33683536 50525304 67367072 101050608 202101216