Search a number
-
+
23553445240 = 23513307147541
BaseRepresentation
bin10101111011111001…
…010000110101111000
32020210110221222201201
4111323321100311320
5341214140221430
614453104023544
71462450660363
oct257371206570
966713858651
1023553445240
119a97340026
124694001bb4
1322b4937860
1411d61d70da
1592cbd38ca
hex57be50d78

23553445240 has 64 divisors (see below), whose sum is σ = 57258099360. Its totient is φ = 8668270080.

The previous prime is 23553445211. The next prime is 23553445249. The reversal of 23553445240 is 4254435532.

It is a self number, because there is not a number n which added to its sum of digits gives 23553445240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23553445249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85870 + ... + 233410.

Almost surely, 223553445240 is an apocalyptic number.

23553445240 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 23553445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28629049680).

23553445240 is an abundant number, since it is smaller than the sum of its proper divisors (33704654120).

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

23553445240 is a wasteful number, since it uses less digits than its factorization.

23553445240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147872 (or 147868 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

The spelling of 23553445240 in words is "twenty-three billion, five hundred fifty-three million, four hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 307 520 614 1228 1535 2456 3070 3991 6140 7982 12280 15964 19955 31928 39910 79820 147541 159640 295082 590164 737705 1180328 1475410 1918033 2950820 3836066 5901640 7672132 9590165 15344264 19180330 38360660 45295087 76721320 90590174 181180348 226475435 362360696 452950870 588836131 905901740 1177672262 1811803480 2355344524 2944180655 4710689048 5888361310 11776722620 23553445240