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202350020 = 22531389839
BaseRepresentation
bin11000000111110…
…01110111000100
3112002202110001012
430003321313010
5403300200040
632025021352
75004642515
oct1403716704
9462673035
10202350020
11a4248624
1257924858
1332bcab52
141cc34a0c
1512b70865
hexc0f9dc4

202350020 has 48 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 78034560.

The previous prime is 202349951. The next prime is 202350037. The reversal of 202350020 is 20053202.

202350020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202349977 and 202350004.

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, 240761 + ... + 241599.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2202350020 is an apocalyptic number.

202350020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202350020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

202350020 is an abundant number, since it is smaller than the sum of its proper divisors (237944380).

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

202350020 is a wasteful number, since it uses less digits than its factorization.

202350020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 202350020 is about 14224.9787346062. The cubic root of 202350020 is about 587.0851346037.

The spelling of 202350020 in words is "two hundred two million, three hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 389 620 778 839 1556 1678 1945 3356 3890 4195 7780 8390 12059 16780 24118 26009 48236 52018 60295 104036 120590 130045 241180 260090 326371 520180 652742 1305484 1631855 3263710 6527420 10117501 20235002 40470004 50587505 101175010 202350020