Search a number
-
+
28202538100 = 22521130418431
BaseRepresentation
bin11010010001000000…
…001001010001110100
32200210111001101012011
4122101000021101310
5430224322204400
620542302134004
72015612422102
oct322100112164
980714041164
1028202538100
1110a62663330
125570b81304
132875b83389
141517832c72
15b00e228ba
hex691009474

28202538100 has 72 divisors (see below), whose sum is σ = 66792974976. Its totient is φ = 10250880000.

The previous prime is 28202538041. The next prime is 28202538101. The reversal of 28202538100 is 183520282.

It is a super-2 number, since 2×282025381002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28202538101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3340885 + ... + 3349315.

It is an arithmetic number, because the mean of its divisors is an integer number (927680208).

Almost surely, 228202538100 is an apocalyptic number.

28202538100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28202538100 is an abundant number, since it is smaller than the sum of its proper divisors (38590436876).

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

28202538100 is a wasteful number, since it uses less digits than its factorization.

28202538100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11497 (or 11490 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 28202538100 in words is "twenty-eight billion, two hundred two million, five hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 3041 6082 8431 12164 15205 16862 30410 33451 33724 42155 60820 66902 76025 84310 92741 133804 152050 167255 168620 185482 210775 304100 334510 370964 421550 463705 669020 836275 843100 927410 1672550 1854820 2318525 3345100 4637050 9274100 25638671 51277342 102554684 128193355 256386710 282025381 512773420 564050762 640966775 1128101524 1281933550 1410126905 2563867100 2820253810 5640507620 7050634525 14101269050 28202538100