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22227257010 = 2357231747699
BaseRepresentation
bin10100101100110110…
…010000011010110010
32010101001111122111010
4110230312100122302
5331010134211020
614113331131350
71414545365400
oct245466203262
963331448433
1022227257010
1194767861a2
124383a43b56
132132c608aa
14110c01a470
158a156dde0
hex52cd906b2

22227257010 has 96 divisors (see below), whose sum is σ = 62251934400. Its totient is φ = 5064382848.

The previous prime is 22227257009. The next prime is 22227257081. The reversal of 22227257010 is 1075272222.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 442141 + ... + 489839.

It is an arithmetic number, because the mean of its divisors is an integer number (648457650).

Almost surely, 222227257010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22227257010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31125967200).

22227257010 is an abundant number, since it is smaller than the sum of its proper divisors (40024677390).

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

22227257010 is a wasteful number, since it uses less digits than its factorization.

22227257010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48040 (or 48033 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 22227257010 in words is "twenty-two billion, two hundred twenty-seven million, two hundred fifty-seven thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 317 490 634 735 951 1470 1585 1902 2219 3170 4438 4755 6657 9510 11095 13314 15533 22190 31066 33285 46599 47699 66570 77665 93198 95398 143097 155330 232995 238495 286194 333893 465990 476990 667786 715485 1001679 1430970 1669465 2003358 2337251 3338930 4674502 5008395 7011753 10016790 11686255 14023506 15120583 23372510 30241166 35058765 45361749 70117530 75602915 90723498 105844081 151205830 211688162 226808745 317532243 453617490 529220405 635064486 740908567 1058440810 1481817134 1587661215 2222725701 3175322430 3704542835 4445451402 7409085670 11113628505 22227257010