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2250043432 = 2371317281647
BaseRepresentation
bin1000011000011100…
…1111000000101000
312210210212001022221
42012013033000220
514102002342212
61011134123424
7106521024250
oct20607170050
95723761287
102250043432
11a550aaa2a
12529650574
1329b203760
14174b86960
15d2804807
hex861cf028

2250043432 has 128 divisors (see below), whose sum is σ = 5525936640. Its totient is φ = 833495040.

The previous prime is 2250043391. The next prime is 2250043447. The reversal of 2250043432 is 2343400522.

It is a junction number, because it is equal to n+sod(n) for n = 2250043397 and 2250043406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3477333 + ... + 3477979.

It is an arithmetic number, because the mean of its divisors is an integer number (43171380).

Almost surely, 22250043432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762968320).

2250043432 is an abundant number, since it is smaller than the sum of its proper divisors (3275893208).

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

2250043432 is a wasteful number, since it uses less digits than its factorization.

2250043432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 2250043432 is about 47434.6227137942. The cubic root of 2250043432 is about 1310.3791284606.

Adding to 2250043432 its reverse (2343400522), we get a palindrome (4593443954).

The spelling of 2250043432 in words is "two billion, two hundred fifty million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 281 364 442 476 562 647 728 884 952 1124 1294 1547 1768 1967 2248 2588 3094 3653 3934 4529 4777 5176 6188 7306 7868 8411 9058 9554 10999 12376 14612 15736 16822 18116 19108 21998 25571 29224 33439 33644 36232 38216 43996 51142 58877 62101 66878 67288 76993 87992 102284 117754 124202 133756 142987 153986 181807 204568 235508 248404 267512 285974 307972 363614 434707 471016 496808 571948 615944 727228 869414 1000909 1143896 1272649 1454456 1738828 2001818 2363491 2545298 3090719 3477656 4003636 4726982 5090596 6181438 8007272 9453964 10181192 12362876 16544437 18907928 21635033 24725752 33088874 40179347 43270066 66177748 80358694 86540132 132355496 160717388 173080264 281255429 321434776 562510858 1125021716 2250043432