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28225340 = 225111371139
BaseRepresentation
bin110101110101…
…0111100111100
31222002222212222
41223222330330
524211202330
62444544512
7461624423
oct153527474
958088788
1028225340
1114a29130
129552138
135b032b0
143a6a2ba
1527280e5
hex1aeaf3c

28225340 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 9273600.

The previous prime is 28225331. The next prime is 28225349. The reversal of 28225340 is 4352282.

It is an interprime number because it is at equal distance from previous prime (28225331) and next prime (28225349).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28225349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202991 + ... + 203129.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 228225340 is an apocalyptic number.

28225340 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 28225340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

28225340 is an abundant number, since it is smaller than the sum of its proper divisors (42899140).

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

28225340 is a wasteful number, since it uses less digits than its factorization.

28225340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 28225340 is about 5312.7525822308. The cubic root of 28225340 is about 304.4713227829.

The spelling of 28225340 in words is "twenty-eight million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 71 110 130 139 142 143 220 260 278 284 286 355 556 572 695 710 715 781 923 1390 1420 1430 1529 1562 1807 1846 2780 2860 3058 3124 3614 3692 3905 4615 6116 7228 7645 7810 9035 9230 9869 10153 15290 15620 18070 18460 19738 19877 20306 30580 36140 39476 39754 40612 49345 50765 79508 98690 99385 101530 108559 128297 197380 198770 203060 217118 256594 397540 434236 513188 542795 641485 1085590 1282970 1411267 2171180 2565940 2822534 5645068 7056335 14112670 28225340