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22970028400 = 2452116737757
BaseRepresentation
bin10101011001000111…
…101101000101110000
32012021211011100021121
4111121013231011300
5334020311402100
614315143232024
71442135006554
oct253107550560
965254140247
1022970028400
119817a89350
124550748614
132220ac70a7
14117c929864
158e688e51a
hex5591ed170

22970028400 has 120 divisors (see below), whose sum is σ = 60299582544. Its totient is φ = 8339251200.

The previous prime is 22970028391. The next prime is 22970028407. The reversal of 22970028400 is 482007922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22970028407) 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 23 ways as a sum of consecutive naturals, for example, 2957322 + ... + 2965078.

Almost surely, 222970028400 is an apocalyptic number.

22970028400 is a gapful number since it is divisible by the number (20) 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 22970028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30149791272).

22970028400 is an abundant number, since it is smaller than the sum of its proper divisors (37329554144).

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

22970028400 is a wasteful number, since it uses less digits than its factorization.

22970028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 22970028400 in words is "twenty-two billion, nine hundred seventy million, twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 673 880 1100 1346 2200 2692 3365 4400 5384 6730 7403 7757 10768 13460 14806 15514 16825 26920 29612 31028 33650 37015 38785 53840 59224 62056 67300 74030 77570 85327 118448 124112 134600 148060 155140 170654 185075 193925 269200 296120 310280 341308 370150 387850 426635 592240 620560 682616 740300 775700 853270 1365232 1480600 1551400 1706540 2133175 2961200 3102800 3413080 4266350 5220461 6826160 8532700 10440922 17065400 20881844 26102305 34130800 41763688 52204610 57425071 83527376 104409220 114850142 130511525 208818440 229700284 261023050 287125355 417636880 459400568 522046100 574250710 918801136 1044092200 1148501420 1435626775 2088184400 2297002840 2871253550 4594005680 5742507100 11485014200 22970028400