Search a number
-
+
22246754130 = 23253110774521
BaseRepresentation
bin10100101110000000…
…101000011101010010
32010102102012012111200
4110232000220131102
5331030132113010
614115305052030
71415203201326
oct245600503522
963372165450
1022246754130
119486792717
12438a487016
132136cc9153
141110853986
158a3120cc0
hex52e028752

22246754130 has 96 divisors (see below), whose sum is σ = 60266239488. Its totient is φ = 5687366400.

The previous prime is 22246754093. The next prime is 22246754171. The reversal of 22246754130 is 3145764222.

22246754130 is a `hidden beast` number, since 2 + 2 + 24 + 67 + 541 + 30 = 666.

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, 261270 + ... + 335790.

It is an arithmetic number, because the mean of its divisors is an integer number (627773328).

Almost surely, 222246754130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22246754130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30133119744).

22246754130 is an abundant number, since it is smaller than the sum of its proper divisors (38019485358).

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

22246754130 is a wasteful number, since it uses less digits than its factorization.

22246754130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74672 (or 74669 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 22246754130 in words is "twenty-two billion, two hundred forty-six million, seven hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 107 155 186 214 279 310 321 465 535 558 642 930 963 1070 1395 1605 1926 2790 3210 3317 4815 6634 9630 9951 16585 19902 29853 33170 49755 59706 74521 99510 149042 149265 223563 298530 372605 447126 670689 745210 1117815 1341378 2235630 2310151 3353445 4620302 6706890 6930453 7973747 11550755 13860906 15947494 20791359 23101510 23921241 34652265 39868735 41582718 47842482 69304530 71763723 79737470 103956795 119606205 143527446 207913590 239212410 247186157 358818615 494372314 717637230 741558471 1235930785 1483116942 2224675413 2471861570 3707792355 4449350826 7415584710 11123377065 22246754130