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23401350400 = 285223915299
BaseRepresentation
bin10101110010110101…
…000100010100000000
32020101212202202211111
4111302311010110000
5340411221203100
614430032053104
71455623124241
oct256265042400
966355682744
1023401350400
119a194a7a0a
124651094194
13228c2842cc
1411bdd24cc8
1591e68d6ba
hex572d44500

23401350400 has 108 divisors (see below), whose sum is σ = 58168152000. Its totient is φ = 9320765440.

The previous prime is 23401350397. The next prime is 23401350403. The reversal of 23401350400 is 405310432.

It is an interprime number because it is at equal distance from previous prime (23401350397) and next prime (23401350403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23401350403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1521951 + ... + 1537249.

It is an arithmetic number, because the mean of its divisors is an integer number (538594000).

Almost surely, 223401350400 is an apocalyptic number.

23401350400 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 23401350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29084076000).

23401350400 is an abundant number, since it is smaller than the sum of its proper divisors (34766801600).

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

23401350400 is a wasteful number, since it uses less digits than its factorization.

23401350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15564 (or 15545 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 23401350400 its reverse (405310432), we get a palindrome (23806660832).

The spelling of 23401350400 in words is "twenty-three billion, four hundred one million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 239 256 320 400 478 640 800 956 1195 1280 1600 1912 2390 3200 3824 4780 5975 6400 7648 9560 11950 15296 15299 19120 23900 30592 30598 38240 47800 61184 61196 76480 76495 95600 122392 152960 152990 191200 244784 305920 305980 382400 382475 489568 611960 764800 764950 979136 1223920 1529600 1529900 1958272 2447840 3059800 3656461 3916544 4895680 6119600 7312922 9791360 12239200 14625844 18282305 19582720 24478400 29251688 36564610 48956800 58503376 73129220 91411525 97913600 117006752 146258440 182823050 234013504 292516880 365646100 468027008 585033760 731292200 936054016 1170067520 1462584400 2340135040 2925168800 4680270080 5850337600 11700675200 23401350400