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40221222400 = 295223136621
BaseRepresentation
bin100101011101010111…
…110010011000000000
310211211002022210120201
4211131113302120000
51124333113104100
630251040214544
72622501515032
oct453527623000
9124732283521
1040221222400
111606a916777
12796600a454
133a3cb5a4a8
141d37b15c52
1510a613436a
hex95d5f2600

40221222400 has 120 divisors (see below), whose sum is σ = 103984643664. Its totient is φ = 15388876800.

The previous prime is 40221222359. The next prime is 40221222401. The reversal of 40221222400 is 422212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221222401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226090 + ... + 362710.

Almost surely, 240221222400 is an apocalyptic number.

40221222400 is a gapful number since it is divisible by the number (40) 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 40221222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51992321832).

40221222400 is an abundant number, since it is smaller than the sum of its proper divisors (63763421264).

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

40221222400 is a wasteful number, since it uses less digits than its factorization.

40221222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136672 (or 136651 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 40221222400 its reverse (422212204), we get a palindrome (40643434604).

The spelling of 40221222400 in words is "forty billion, two hundred twenty-one million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 256 320 368 400 460 512 575 640 736 800 920 1150 1280 1472 1600 1840 2300 2560 2944 3200 3680 4600 5888 6400 7360 9200 11776 12800 14720 18400 29440 36800 58880 73600 136621 147200 273242 294400 546484 683105 1092968 1366210 2185936 2732420 3142283 3415525 4371872 5464840 6284566 6831050 8743744 10929680 12569132 13662100 15711415 17487488 21859360 25138264 27324200 31422830 34974976 43718720 50276528 54648400 62845660 69949952 78557075 87437440 100553056 109296800 125691320 157114150 174874880 201106112 218593600 251382640 314228300 349749760 402212224 437187200 502765280 628456600 804424448 874374400 1005530560 1256913200 1608848896 1748748800 2011061120 2513826400 4022122240 5027652800 8044244480 10055305600 20110611200 40221222400