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465226140 = 22358987121
BaseRepresentation
bin11011101110101…
…100100110011100
31012102101221021210
4123232230212130
51423044214030
6114055224420
714346233301
oct3356544634
91172357253
10465226140
11219676315
1210b978110
13754cb252
1445b030a8
152ac99bb0
hex1bbac99c

465226140 has 48 divisors (see below), whose sum is σ = 1317284640. Its totient is φ = 122664960.

The previous prime is 465226121. The next prime is 465226147. The reversal of 465226140 is 41622564.

It is a super-2 number, since 2×4652261402 = 432870722678599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 465226098 and 465226107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465226147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38221 + ... + 48900.

It is an arithmetic number, because the mean of its divisors is an integer number (27443430).

Almost surely, 2465226140 is an apocalyptic number.

It is an amenable number.

465226140 is an abundant number, since it is smaller than the sum of its proper divisors (852058500).

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

465226140 is a wasteful number, since it uses less digits than its factorization.

465226140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87222 (or 87220 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 465226140 is about 21569.1015111896. The cubic root of 465226140 is about 774.8566588870.

The spelling of 465226140 in words is "four hundred sixty-five million, two hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 87121 174242 261363 348484 435605 522726 871210 1045452 1306815 1742420 2613630 5227260 7753769 15507538 23261307 31015076 38768845 46522614 77537690 93045228 116306535 155075380 232613070 465226140