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22542274040 = 235111317231821
BaseRepresentation
bin10100111111100111…
…111100110111111000
32011012000021011121112
4110333213330313320
5332131310232130
614204503055452
71425422111366
oct247747746770
964160234545
1022542274040
119618587150
124451441588
1321832b89c0
14113bbbc636
158be047495
hex53f9fcdf8

22542274040 has 128 divisors (see below), whose sum is σ = 63092675520. Its totient is φ = 7121510400.

The previous prime is 22542274037. The next prime is 22542274043. The reversal of 22542274040 is 4047224522.

It is an interprime number because it is at equal distance from previous prime (22542274037) and next prime (22542274043).

It is a junction number, because it is equal to n+sod(n) for n = 22542273988 and 22542274006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22542274043) 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, 18671 + ... + 213150.

Almost surely, 222542274040 is an apocalyptic number.

22542274040 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 22542274040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31546337760).

22542274040 is an abundant number, since it is smaller than the sum of its proper divisors (40550401480).

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

22542274040 is a wasteful number, since it uses less digits than its factorization.

22542274040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231873 (or 231869 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 32.

Adding to 22542274040 its reverse (4047224522), we get a palindrome (26589498562).

The spelling of 22542274040 in words is "twenty-two billion, five hundred forty-two million, two hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 17 20 22 26 34 40 44 52 55 65 68 85 88 104 110 130 136 143 170 187 220 221 260 286 340 374 440 442 520 572 680 715 748 884 935 1105 1144 1430 1496 1768 1870 2210 2431 2860 3740 4420 4862 5720 7480 8840 9724 12155 19448 24310 48620 97240 231821 463642 927284 1159105 1854568 2318210 2550031 3013673 3940957 4636420 5100062 6027346 7881914 9272840 10200124 12054692 12750155 15068365 15763828 19704785 20400248 24109384 25500310 30136730 31527656 33150403 39409570 43350527 51000620 51232441 60273460 66300806 78819140 86701054 102001240 102464882 120546920 132601612 157638280 165752015 173402108 204929764 216752635 256162205 265203224 331504030 346804216 409859528 433505270 512324410 563556851 663008060 867010540 1024648820 1127113702 1326016120 1734021080 2049297640 2254227404 2817784255 4508454808 5635568510 11271137020 22542274040