Search a number
-
+
22092277376 = 2713171794363
BaseRepresentation
bin10100100100110011…
…010110011010000000
32010000122111222020102
4110210303112122000
5330221110334001
614052110101532
71411316154641
oct244463263200
963018458212
1022092277376
119407572a84
1243467aa8a8
132110cc06a0
1410d81216c8
158947a9e6b
hex524cd6680

22092277376 has 128 divisors (see below), whose sum is σ = 50477515200. Its totient is φ = 9540845568.

The previous prime is 22092277369. The next prime is 22092277429. The reversal of 22092277376 is 67377229022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22092277376.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5061371 + ... + 5065733.

Almost surely, 222092277376 is an apocalyptic number.

22092277376 is a gapful number since it is divisible by the number (26) 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 22092277376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25238757600).

22092277376 is an abundant number, since it is smaller than the sum of its proper divisors (28385237824).

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

22092277376 is a wasteful number, since it uses less digits than its factorization.

22092277376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 47.

The spelling of 22092277376 in words is "twenty-two billion, ninety-two million, two hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 179 208 221 272 358 416 442 544 716 832 884 1088 1432 1664 1768 2176 2327 2864 3043 3536 4363 4654 5728 6086 7072 8726 9308 11456 12172 14144 17452 18616 22912 24344 28288 34904 37232 39559 48688 56719 69808 74171 74464 79118 97376 113438 139616 148342 148928 158236 194752 226876 279232 296684 297856 316472 389504 453752 558464 593368 632944 780977 907504 964223 1186736 1265888 1561954 1815008 1928446 2373472 2531776 3123908 3630016 3856892 4746944 5063552 6247816 7260032 7713784 9493888 10152701 12495632 13276609 15427568 20305402 24991264 26553218 30855136 40610804 49982528 53106436 61710272 81221608 99965056 106212872 123420544 162443216 172595917 212425744 324886432 345191834 424851488 649772864 690383668 849702976 1299545728 1380767336 1699405952 2761534672 5523069344 11046138688 22092277376