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202152020 = 22571975997
BaseRepresentation
bin11000000110010…
…01100001010100
3112002101101102212
430003021201110
5403222331040
632020452552
75003156330
oct1403114124
9462341385
10202152020
11a4122894
125784a158
1332b5b9a5
141cbc27c0
1512b31d65
hexc0c9854

202152020 has 48 divisors (see below), whose sum is σ = 510706560. Its totient is φ = 65660544.

The previous prime is 202152007. The next prime is 202152059. The reversal of 202152020 is 20251202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202151986 and 202152004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35339 + ... + 40658.

It is an arithmetic number, because the mean of its divisors is an integer number (10639720).

Almost surely, 2202152020 is an apocalyptic number.

202152020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202152020 is an abundant number, since it is smaller than the sum of its proper divisors (308554540).

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

202152020 is a wasteful number, since it uses less digits than its factorization.

202152020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76032 (or 76030 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 202152020 is about 14218.0174426676. The cubic root of 202152020 is about 586.8935840224.

The spelling of 202152020 in words is "two hundred two million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 75997 151994 303988 379985 531979 759970 1063958 1443943 1519940 2127916 2659895 2887886 5319790 5775772 7219715 10107601 10639580 14439430 20215202 28878860 40430404 50538005 101076010 202152020