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97225830 = 232513233613
BaseRepresentation
bin1011100101110…
…00110001100110
320202221120202200
411302320301212
5144342211310
613351515330
72260256142
oct562706146
9222846680
1097225830
114a977229
1228688b46
13171b1ba0
14ccac222
1588079c0
hex5cb8c66

97225830 has 96 divisors (see below), whose sum is σ = 284147136. Its totient is φ = 22885632.

The previous prime is 97225813. The next prime is 97225841. The reversal of 97225830 is 3852279.

It is a happy number.

97225830 is a `hidden beast` number, since 9 + 72 + 2 + 583 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25104 + ... + 28716.

It is an arithmetic number, because the mean of its divisors is an integer number (2959866).

Almost surely, 297225830 is an apocalyptic number.

97225830 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97225830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142073568).

97225830 is an abundant number, since it is smaller than the sum of its proper divisors (186921306).

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

97225830 is a wasteful number, since it uses less digits than its factorization.

97225830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 97225830 is about 9860.3159178598. The cubic root of 97225830 is about 459.8263837562.

The spelling of 97225830 in words is "ninety-seven million, two hundred twenty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 3613 4485 5382 7226 8970 10839 13455 18065 21678 26910 32517 36130 46969 54195 65034 83099 93938 108390 140907 162585 166198 234845 249297 281814 325170 415495 422721 469690 498594 704535 747891 830990 845442 1080287 1246485 1409070 1495782 2113605 2160574 2492970 3240861 3739455 4227210 5401435 6481722 7478910 9722583 10802870 16204305 19445166 32408610 48612915 97225830