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1228436000 = 25531127919
BaseRepresentation
bin100100100111000…
…0111001000100000
310011121112000101122
41021032013020200
510003434423000
6321521351412
742304351031
oct11116071040
93147460348
101228436000
11580469170
122a3498568
1316766c60c
14b9212a88
1572ca6085
hex49387220

1228436000 has 96 divisors (see below), whose sum is σ = 3292773120. Its totient is φ = 446688000.

The previous prime is 1228435993. The next prime is 1228436021. The reversal of 1228436000 is 6348221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30041 + ... + 57959.

It is an arithmetic number, because the mean of its divisors is an integer number (34299720).

Almost surely, 21228436000 is an apocalyptic number.

1228436000 is a gapful number since it is divisible by the number (10) 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 1228436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646386560).

1228436000 is an abundant number, since it is smaller than the sum of its proper divisors (2064337120).

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

1228436000 is a wasteful number, since it uses less digits than its factorization.

1228436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27955 (or 27937 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1228436000 is about 35049.0513423687. The cubic root of 1228436000 is about 1070.9869485783.

It can be divided in two parts, 12284 and 36000, that added together give a palindrome (48284).

The spelling of 1228436000 in words is "one billion, two hundred twenty-eight million, four hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 27919 44000 55838 111676 139595 223352 279190 307109 446704 558380 614218 697975 893408 1116760 1228436 1395950 1535545 2233520 2456872 2791900 3071090 3489875 4467040 4913744 5583800 6142180 6979750 7677725 9827488 11167600 12284360 13959500 15355450 22335200 24568720 27919000 30710900 38388625 49137440 55838000 61421800 76777250 111676000 122843600 153554500 245687200 307109000 614218000 1228436000