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25220240400 = 2435231816607
BaseRepresentation
bin10111011111001111…
…100101010000010000
32102002122022221211210
4113133033211100100
5403122340143100
615330325140120
71551660335445
oct273717452020
972078287753
1025220240400
11a772193993
124a7a25a640
1324bc059494
1413137179cc
159c91c8c50
hex5df3e5410

25220240400 has 120 divisors (see below), whose sum is σ = 80826465664. Its totient is φ = 6722265600.

The previous prime is 25220240399. The next prime is 25220240407. The reversal of 25220240400 is 404202252.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (25220240407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3813897 + ... + 3820503.

Almost surely, 225220240400 is an apocalyptic number.

25220240400 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 25220240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40413232832).

25220240400 is an abundant number, since it is smaller than the sum of its proper divisors (55606225264).

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

25220240400 is a wasteful number, since it uses less digits than its factorization.

25220240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9809 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 25220240400 its reverse (404202252), we get a palindrome (25624442652).

The spelling of 25220240400 in words is "twenty-five billion, two hundred twenty million, two hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3181 6362 6607 9543 12724 13214 15905 19086 19821 25448 26428 31810 33035 38172 39642 47715 50896 52856 63620 66070 76344 79284 79525 95430 99105 105712 127240 132140 152688 158568 159050 165175 190860 198210 238575 254480 264280 317136 318100 330350 381720 396420 477150 495525 528560 636200 660700 763440 792840 954300 991050 1272400 1321400 1585680 1908600 1982100 2642800 3817200 3964200 7928400 21016867 42033734 63050601 84067468 105084335 126101202 168134936 210168670 252202404 315253005 336269872 420337340 504404808 525421675 630506010 840674680 1008809616 1050843350 1261012020 1576265025 1681349360 2101686700 2522024040 3152530050 4203373400 5044048080 6305060100 8406746800 12610120200 25220240400