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23422480 = 2453741193
BaseRepresentation
bin101100101011…
…0011000010000
31122001222121021
41121112120100
521444004410
62154005224
7403042054
oct131263020
948058537
1023422480
1112248724
127a16814
134b11173
143179c64
1520c9eda
hex1656610

23422480 has 80 divisors (see below), whose sum is σ = 57590064. Its totient is φ = 8847360.

The previous prime is 23422471. The next prime is 23422501. The reversal of 23422480 is 8422432.

It can be written as a sum of positive squares in 8 ways, for example, as 1557504 + 21864976 = 1248^2 + 4676^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×234224802 = 1097225138700800, which contains 22 as substring.

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, 121264 + ... + 121456.

Almost surely, 223422480 is an apocalyptic number.

23422480 is a gapful number since it is divisible by the number (20) 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 23422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28795032).

23422480 is an abundant number, since it is smaller than the sum of its proper divisors (34167584).

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

23422480 is a wasteful number, since it uses less digits than its factorization.

23422480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 23422480 is about 4839.6776752176. The cubic root of 23422480 is about 286.1174147465.

The spelling of 23422480 in words is "twenty-three million, four hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 41 74 80 82 148 164 185 193 205 296 328 370 386 410 592 656 740 772 820 965 1480 1517 1544 1640 1930 2960 3034 3088 3280 3860 6068 7141 7585 7720 7913 12136 14282 15170 15440 15826 24272 28564 30340 31652 35705 39565 57128 60680 63304 71410 79130 114256 121360 126608 142820 158260 285640 292781 316520 571280 585562 633040 1171124 1463905 2342248 2927810 4684496 5855620 11711240 23422480