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42224212290 = 23513213995953
BaseRepresentation
bin100111010100110000…
…100101100101000010
311000222200022020011110
4213110300211211002
51142433344243130
631221511224150
73023232611511
oct472460454502
9130880266143
1042224212290
11169a8515717
128224978056
133c9bb10700
142087b4c678
151171dd7ab0
hex9d4c25942

42224212290 has 96 divisors (see below), whose sum is σ = 109829865600. Its totient is φ = 10384478208.

The previous prime is 42224212271. The next prime is 42224212301. The reversal of 42224212290 is 9221242224.

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

It is a Curzon 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, 7089954 + ... + 7095906.

It is an arithmetic number, because the mean of its divisors is an integer number (1144061100).

Almost surely, 242224212290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224212290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54914932800).

42224212290 is an abundant number, since it is smaller than the sum of its proper divisors (67605653310).

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

42224212290 is a wasteful number, since it uses less digits than its factorization.

42224212290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7375 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 42224212290 in words is "forty-two billion, two hundred twenty-four million, two hundred twelve thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1399 1690 2535 2798 4197 5070 5953 6995 8394 11906 13990 17859 18187 20985 29765 35718 36374 41970 54561 59530 77389 89295 90935 109122 154778 178590 181870 232167 236431 272805 386945 464334 472862 545610 709293 773890 1006057 1160835 1182155 1418586 2012114 2321670 2364310 3018171 3546465 5030285 6036342 7092930 8328247 10060570 15090855 16656494 24984741 30181710 41641235 49969482 83282470 108267211 124923705 216534422 249847410 324801633 541336055 649603266 1082672110 1407473743 1624008165 2814947486 3248016330 4222421229 7037368715 8444842458 14074737430 21112106145 42224212290