Search a number
-
+
23522356900 = 2252743132
BaseRepresentation
bin10101111010000010…
…101010111010100100
32020201022110112112201
4111322002222322210
5341133210410100
614450033424244
71461622510000
oct257202527244
966638415481
1023522356900
119a80836989
12468570b084
1322ab3713a3
1411d2023700
1592a0e236a
hex57a0aaea4

23522356900 has 135 divisors (see below), whose sum is σ = 59738078211. Its totient is φ = 8039041920.

The previous prime is 23522356873. The next prime is 23522356931. The reversal of 23522356900 is 965322532.

The square root of 23522356900 is 153370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13214422116 + 10307934784 = 114954^2 + 101528^2 .

It is a super-2 number, since 2×235223569002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23522356900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 75151144 + ... + 75151456.

Almost surely, 223522356900 is an apocalyptic number.

23522356900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23522356900 is the 153370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23522356900

23522356900 is an abundant number, since it is smaller than the sum of its proper divisors (36215721311).

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

23522356900 is an frugal number, since it uses more digits than its factorization.

23522356900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 23522356900 in words is "twenty-three billion, five hundred twenty-two million, three hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 313 343 350 490 626 686 700 980 1225 1252 1372 1565 1715 2191 2401 2450 3130 3430 4382 4802 4900 6260 6860 7825 8575 8764 9604 10955 12005 15337 15650 17150 21910 24010 30674 31300 34300 43820 48020 54775 60025 61348 76685 97969 107359 109550 120050 153370 195938 214718 219100 240100 306740 383425 391876 429436 489845 536795 685783 751513 766850 979690 1073590 1371566 1503026 1533700 1959380 2147180 2449225 2683975 2743132 3006052 3428915 3757565 4800481 4898450 5367950 6857830 7515130 9600962 9796900 10735900 13715660 15030260 17144575 18787825 19201924 24002405 33603367 34289150 37575650 48004810 67206734 68578300 75151300 96009620 120012025 134413468 168016835 235223569 240024050 336033670 470447138 480048100 672067340 840084175 940894276 1176117845 1680168350 2352235690 3360336700 4704471380 5880589225 11761178450 23522356900