Search a number
-
+
21910552248 = 23313313496491
BaseRepresentation
bin10100011001111110…
…000111111010111000
32002112222120101020010
4110121332013322320
5324333100132443
614022055101520
71403651423034
oct243176077270
962488511203
1021910552248
119323a32222
1242b59718a0
1320b2464520
1410bbd391c4
15883860733
hex519f87eb8

21910552248 has 128 divisors (see below), whose sum is σ = 61076736000. Its totient is φ = 6504537600.

The previous prime is 21910552247. The next prime is 21910552249. The reversal of 21910552248 is 84225501912.

It is an interprime number because it is at equal distance from previous prime (21910552247) and next prime (21910552249).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21910552247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3372283 + ... + 3378773.

It is an arithmetic number, because the mean of its divisors is an integer number (477162000).

Almost surely, 221910552248 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 21910552248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30538368000).

21910552248 is an abundant number, since it is smaller than the sum of its proper divisors (39166183752).

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

21910552248 is a wasteful number, since it uses less digits than its factorization.

21910552248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 21910552248 in words is "twenty-one billion, nine hundred ten million, five hundred fifty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 349 372 403 698 744 806 1047 1209 1396 1612 2094 2418 2792 3224 4188 4537 4836 6491 8376 9074 9672 10819 12982 13611 18148 19473 21638 25964 27222 32457 36296 38946 43276 51928 54444 64914 77892 84383 86552 108888 129828 140647 155784 168766 201221 253149 259656 281294 337532 402442 421941 506298 562588 603663 675064 804884 843882 1012596 1125176 1207326 1609768 1687764 2025192 2265359 2414652 2615873 3375528 4530718 4829304 5231746 6796077 7847619 9061436 10463492 13592154 15695238 18122872 20926984 27184308 29449667 31390476 54368616 58899334 62780952 70226129 88349001 117798668 140452258 176698002 210678387 235597336 280904516 353396004 421356774 561809032 706792008 842713548 912939677 1685427096 1825879354 2738819031 3651758708 5477638062 7303517416 10955276124 21910552248