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422351111221400 = 235222923513922433
BaseRepresentation
bin110000000001000000100011…
…1111101000111000010011000
32001101102101001010021120022202
41200002001013331013002120
5420324300033433041100
64054133231050105332
7154650601155421154
oct14002010775070230
92041371033246282
10422351111221400
11112635111682959
123b45258471b248
1315188700c4390a
147641c8d608064
1533c64c58467d5
hex1802047f47098

422351111221400 has 96 divisors (see below), whose sum is σ = 986674151937600. Its totient is φ = 168131125248000.

The previous prime is 422351111221393. The next prime is 422351111221577. The reversal of 422351111221400 is 4122111153224.

It is a super-2 number, since 2×4223511112214002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105714584 + ... + 109637016.

It is an arithmetic number, because the mean of its divisors is an integer number (10277855749350).

Almost surely, 2422351111221400 is an apocalyptic number.

422351111221400 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 422351111221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493337075968800).

422351111221400 is an abundant number, since it is smaller than the sum of its proper divisors (564323040716200).

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

422351111221400 is a wasteful number, since it uses less digits than its factorization.

422351111221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925029 (or 3925020 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 422351111221400 its reverse (4122111153224), we get a palindrome (426473222374624).

The spelling of 422351111221400 in words is "four hundred twenty-two trillion, three hundred fifty-one billion, one hundred eleven million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 916 1145 1832 2290 2351 4580 4702 5725 9160 9404 11450 11755 18808 22900 23510 45800 47020 58775 94040 117550 235100 470200 538379 1076758 2153516 2691895 3922433 4307032 5383790 7844866 10767580 13459475 15689732 19612165 21535160 26918950 31379464 39224330 53837900 78448660 98060825 107675800 156897320 196121650 392243300 784486600 898237157 1796474314 3592948628 4491185785 7185897256 8982371570 9221639983 17964743140 18443279966 22455928925 35929486280 36886559932 44911857850 46108199915 73773119864 89823715700 92216399830 179647431400 184432799660 230540999575 368865599320 461081999150 922163998300 1844327996600 2111755556107 4223511112214 8447022224428 10558777780535 16894044448856 21117555561070 42235111122140 52793888902675 84470222244280 105587777805350 211175555610700 422351111221400