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22733401428 = 22321961953693
BaseRepresentation
bin10101001011000001…
…000010110101010100
32011200022220110002200
4111023001002311110
5333024222321203
614235451404500
71433232503163
oct251301026524
964608813080
1022733401428
119706459a71
1244a5453730
1321b3a8762a
1411593313da
158d0bec9a3
hex54b042d54

22733401428 has 72 divisors (see below), whose sum is σ = 60588309600. Its totient is φ = 7167237696.

The previous prime is 22733401423. The next prime is 22733401501. The reversal of 22733401428 is 82410433722.

It is a happy number.

22733401428 is a `hidden beast` number, since 2 + 273 + 340 + 1 + 42 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22733401392 and 22733401401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22733401421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396550 + ... + 450242.

It is an arithmetic number, because the mean of its divisors is an integer number (841504300).

Almost surely, 222733401428 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 22733401428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30294154800).

22733401428 is an abundant number, since it is smaller than the sum of its proper divisors (37854908172).

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

22733401428 is a wasteful number, since it uses less digits than its factorization.

22733401428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54341 (or 54336 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 22733401428 in words is "twenty-two billion, seven hundred thirty-three million, four hundred one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 619 684 1238 1857 2476 3714 5571 7428 11142 11761 22284 23522 35283 47044 53693 70566 105849 107386 141132 161079 211698 214772 322158 423396 483237 644316 966474 1020167 1932948 2040334 3060501 4080668 6121002 9181503 12242004 18363006 33235967 36726012 66471934 99707901 132943868 199415802 299123703 398831604 598247406 631483373 1196494812 1262966746 1894450119 2525933492 3788900238 5683350357 7577800476 11366700714 22733401428