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225022212432 = 24333071696693
BaseRepresentation
bin1101000110010001011…
…1100111100101010000
3210111211011222210001000
43101210113213211100
512141321141244212
6251212422542000
722154155150443
oct3214427474520
9714734883030
10225022212432
1187482199806
123773b597900
13182b1331b34
14ac693ab65a
155cc00831dc
hex34645e7950

225022212432 has 80 divisors (see below), whose sum is σ = 648001372480. Its totient is φ = 74763036288.

The previous prime is 225022212353. The next prime is 225022212449. The reversal of 225022212432 is 234212220522.

It is a happy number.

225022212432 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 2 + 221 + 2 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 225022212396 and 225022212405.

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, 715723 + ... + 980970.

It is an arithmetic number, because the mean of its divisors is an integer number (8100017156).

Almost surely, 2225022212432 is an apocalyptic number.

It is an amenable number.

225022212432 is an abundant number, since it is smaller than the sum of its proper divisors (422979160048).

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

225022212432 is a wasteful number, since it uses less digits than its factorization.

225022212432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697017 (or 1697005 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 225022212432 its reverse (234212220522), we get a palindrome (459234432954).

The spelling of 225022212432 in words is "two hundred twenty-five billion, twenty-two million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 432 614 921 1228 1842 2456 2763 3684 4912 5526 7368 8289 11052 14736 16578 22104 33156 44208 66312 132624 1696693 3393386 5090079 6786772 10180158 13573544 15270237 20360316 27147088 30540474 40720632 45810711 61080948 81441264 91621422 122161896 183242844 244323792 366485688 520884751 732971376 1041769502 1562654253 2083539004 3125308506 4167078008 4687962759 6250617012 8334156016 9375925518 12501234024 14063888277 18751851036 25002468048 28127776554 37503702072 56255553108 75007404144 112511106216 225022212432