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196226528 = 25192931359
BaseRepresentation
bin10111011001000…
…10110111100000
3111200020100012012
423230202313200
5400213222103
631245452052
74601620001
oct1354426740
9450210165
10196226528
11a0845993
1255871028
1331865894
141c0bd1a8
15123612d8
hexbb22de0

196226528 has 96 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 86607360.

The previous prime is 196226519. The next prime is 196226539. The reversal of 196226528 is 825622691.

196226528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 546413 + ... + 546771.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2196226528 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 196226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

196226528 is an abundant number, since it is smaller than the sum of its proper divisors (239229472).

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

196226528 is a wasteful number, since it uses less digits than its factorization.

196226528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 196226528 is about 14008.0879494669. The cubic root of 196226528 is about 581.1022716566.

The spelling of 196226528 in words is "one hundred ninety-six million, two hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 29 31 32 38 58 62 76 116 124 152 232 248 304 359 464 496 551 589 608 718 899 928 992 1102 1178 1436 1798 2204 2356 2872 3596 4408 4712 5744 6821 7192 8816 9424 10411 11129 11488 13642 14384 17081 17632 18848 20822 22258 27284 28768 34162 41644 44516 54568 68324 83288 89032 109136 136648 166576 178064 197809 211451 218272 273296 322741 333152 356128 395618 422902 546592 645482 791236 845804 1290964 1582472 1691608 2581928 3164944 3383216 5163856 6132079 6329888 6766432 10327712 12264158 24528316 49056632 98113264 196226528