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22070048 = 2571113253
BaseRepresentation
bin101010000110…
…0001100100000
31112112021102012
41110030030200
521122220143
62105012052
7355410110
oct124141440
945467365
1022070048
1111504610
127484028
134759700
142d07040
151e0e418
hex150c320

22070048 has 144 divisors (see below), whose sum is σ = 59766336. Its totient is φ = 7787520.

The previous prime is 22070033. The next prime is 22070053. The reversal of 22070048 is 84007022.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416390 + ... + 416442.

It is an arithmetic number, because the mean of its divisors is an integer number (415044).

Almost surely, 222070048 is an apocalyptic number.

22070048 is a gapful number since it is divisible by the number (28) 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 22070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29883168).

22070048 is an abundant number, since it is smaller than the sum of its proper divisors (37696288).

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

22070048 is a wasteful number, since it uses less digits than its factorization.

22070048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 22070048 is about 4697.8769673119. The cubic root of 22070048 is about 280.5010077673.

The spelling of 22070048 in words is "twenty-two million, seventy thousand, forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 53 56 77 88 91 104 106 112 143 154 169 176 182 208 212 224 286 308 338 352 364 371 416 424 572 583 616 676 689 728 742 848 1001 1144 1166 1183 1232 1352 1378 1456 1484 1696 1859 2002 2288 2332 2366 2464 2704 2756 2912 2968 3718 4004 4081 4576 4664 4732 4823 5408 5512 5936 7436 7579 8008 8162 8957 9328 9464 9646 11024 11872 13013 14872 15158 16016 16324 17914 18656 18928 19292 22048 26026 29744 30316 32032 32648 35828 37856 38584 52052 53053 59488 60632 62699 65296 71656 77168 98527 104104 106106 121264 125398 130592 143312 154336 197054 208208 212212 242528 250796 286624 394108 416416 424424 501592 689689 788216 848848 1003184 1379378 1576432 1697696 2006368 2758756 3152864 5517512 11035024 22070048