Search a number
-
+
22501452540 = 22357149359563
BaseRepresentation
bin10100111101001100…
…001110101011111100
32011002011110020001010
4110331030032223330
5332040332440130
614200444115220
71424415122310
oct247514165374
964064406033
1022501452540
1195a7535376
12443b835b10
1321779c5278
1411365d3b40
158ba6820b0
hex53d30eafc

22501452540 has 96 divisors (see below), whose sum is σ = 72488102400. Its totient is φ = 5108656896.

The previous prime is 22501452497. The next prime is 22501452583. The reversal of 22501452540 is 4525410522.

It is an interprime number because it is at equal distance from previous prime (22501452497) and next prime (22501452583).

It is a super-3 number, since 3×225014525403 (a number of 32 digits) contains 333 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 = 22501452498 and 22501452507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117202 + ... + 242361.

It is an arithmetic number, because the mean of its divisors is an integer number (755084400).

Almost surely, 222501452540 is an apocalyptic number.

22501452540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22501452540 is an abundant number, since it is smaller than the sum of its proper divisors (49986649860).

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

22501452540 is a wasteful number, since it uses less digits than its factorization.

22501452540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359731 (or 359729 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 22501452540 in words is "twenty-two billion, five hundred one million, four hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 149 210 298 420 447 596 745 894 1043 1490 1788 2086 2235 2980 3129 4172 4470 5215 6258 8940 10430 12516 15645 20860 31290 62580 359563 719126 1078689 1438252 1797815 2157378 2516941 3595630 4314756 5033882 5393445 7191260 7550823 10067764 10786890 12584705 15101646 21573780 25169410 30203292 37754115 50338820 53574887 75508230 107149774 151016460 160724661 214299548 267874435 321449322 375024209 535748870 642898644 750048418 803623305 1071497740 1125072627 1500096836 1607246610 1875121045 2250145254 3214493220 3750242090 4500290508 5625363135 7500484180 11250726270 22501452540