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22203030432 = 253111572853
BaseRepresentation
bin10100101011011001…
…110101101110100000
32010022100220210212110
4110223121311232200
5330432433433212
614111103555320
71414132434102
oct245331655640
963270823773
1022203030432
119464039430
1243778bbb40
13212ac2a73b
141108b11572
1589e385a3c
hex52b675ba0

22203030432 has 144 divisors (see below), whose sum is σ = 64063978272. Its totient is φ = 6677498880.

The previous prime is 22203030419. The next prime is 22203030463. The reversal of 22203030432 is 23403030222.

It is a junction number, because it is equal to n+sod(n) for n = 22203030399 and 22203030408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26028918 + ... + 26029770.

It is an arithmetic number, because the mean of its divisors is an integer number (444888738).

Almost surely, 222203030432 is an apocalyptic number.

22203030432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22203030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32031989136).

22203030432 is an abundant number, since it is smaller than the sum of its proper divisors (41860947840).

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

22203030432 is a wasteful number, since it uses less digits than its factorization.

22203030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 22203030432 its reverse (23403030222), we get a palindrome (45606060654).

The spelling of 22203030432 in words is "twenty-two billion, two hundred three million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 157 176 264 314 352 471 528 628 853 942 1056 1256 1706 1727 1884 2512 2559 3412 3454 3768 5024 5118 5181 6824 6908 7536 9383 10236 10362 13648 13816 15072 18766 20472 20724 24649 27296 27632 28149 37532 40944 41448 49298 55264 56298 73947 75064 81888 82896 98596 112596 133921 147894 150128 165792 197192 225192 267842 271139 295788 300256 394384 401763 450384 535684 542278 591576 788768 803526 813417 900768 1071368 1084556 1183152 1473131 1607052 1626834 2142736 2169112 2366304 2946262 3214104 3253668 4285472 4338224 4419393 5892524 6428208 6507336 8676448 8838786 11785048 12856416 13014672 17677572 21025597 23570096 26029344 35355144 42051194 47140192 63076791 70710288 84102388 126153582 141420576 168204776 231281567 252307164 336409552 462563134 504614328 672819104 693844701 925126268 1009228656 1387689402 1850252536 2018457312 2775378804 3700505072 5550757608 7401010144 11101515216 22203030432