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202404228 = 223131916793
BaseRepresentation
bin11000001000001…
…11000110000100
3112002212012101220
430010013012010
5403303413403
632030120340
75005256535
oct1404070604
9462765356
10202404228
11a4285324
12579500b0
1332c19720
141cc4a68c
1512b81953
hexc107184

202404228 has 48 divisors (see below), whose sum is σ = 511343616. Its totient is φ = 61943040.

The previous prime is 202404217. The next prime is 202404247. The reversal of 202404228 is 822404202.

It is a super-3 number, since 3×2024042283 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202404198 and 202404207.

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, 26400 + ... + 33192.

It is an arithmetic number, because the mean of its divisors is an integer number (10652992).

Almost surely, 2202404228 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 202404228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255671808).

202404228 is an abundant number, since it is smaller than the sum of its proper divisors (308939388).

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

202404228 is a wasteful number, since it uses less digits than its factorization.

202404228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 202404228 is about 14226.8839877185. The cubic root of 202404228 is about 587.1375551068.

The spelling of 202404228 in words is "two hundred two million, four hundred four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 573 764 1146 2292 2483 4966 6793 7449 9932 13586 14898 20379 27172 29796 40758 81516 88309 176618 264927 353236 529854 1059708 1297463 2594926 3892389 5189852 7784778 15569556 16867019 33734038 50601057 67468076 101202114 202404228