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422040002300 = 2252719149921169
BaseRepresentation
bin1100010010000111000…
…10110101111011111100
31111100100200201111022022
412021003202311323330
523403314220033200
6521514341535312
742330354554330
oct6110342657374
91440320644268
10422040002300
11152a93640334
1269964414538
1330a4b857c17
14165d93977c0
15aea17c9885
hex62438b5efc

422040002300 has 144 divisors (see below), whose sum is σ = 1102533600000. Its totient is φ = 136985748480.

The previous prime is 422040002273. The next prime is 422040002311. The reversal of 422040002300 is 3200040224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19926116 + ... + 19947284.

Almost surely, 2422040002300 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 422040002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551266800000).

422040002300 is an abundant number, since it is smaller than the sum of its proper divisors (680493597700).

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

422040002300 is a wasteful number, since it uses less digits than its factorization.

422040002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22708 (or 22701 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 422040002300 its reverse (3200040224), we get a palindrome (425240042524).

The spelling of 422040002300 in words is "four hundred twenty-two billion, forty million, two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1499 1900 2660 2998 3325 5996 6650 7495 10493 13300 14990 20986 21169 28481 29980 37475 41972 42338 52465 56962 74950 84676 104930 105845 113924 142405 148183 149900 199367 209860 211690 262325 284810 296366 398734 402211 423380 524650 529225 569620 592732 712025 740915 797468 804422 996835 1049300 1058450 1424050 1481830 1608844 1993670 2011055 2116900 2815477 2848100 2963660 3704575 3987340 4022110 4984175 5630954 7409150 8044220 9968350 10055275 11261908 14077385 14818300 19936700 20110550 28154770 31732331 40221100 56309540 63464662 70386925 126929324 140773850 158661655 222126317 281547700 317323310 444252634 602914289 634646620 793308275 888505268 1110631585 1205828578 1586616550 2221263170 2411657156 3014571445 3173233100 4220400023 4442526340 5553157925 6029142890 8440800046 11106315850 12058285780 15072857225 16881600092 21102000115 22212631700 30145714450 42204000230 60291428900 84408000460 105510000575 211020001150 422040002300