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1222040144 = 241337971637
BaseRepresentation
bin100100011010110…
…1101101001010000
310011011111001221002
41020311231221100
510000320241034
6321132321132
742166112153
oct11065555120
93134431832
101222040144
1157789a936
122a13131a8
131662403a0
14b8429c9a
1572440e7e
hex48d6da50

1222040144 has 80 divisors (see below), whose sum is σ = 2647361808. Its totient is φ = 542785536.

The previous prime is 1222040111. The next prime is 1222040153. The reversal of 1222040144 is 4410402221.

It can be written as a sum of positive squares in 8 ways, for example, as 105678400 + 1116361744 = 10280^2 + 33412^2 .

It is a super-2 number, since 2×12220401442 = 2986764227095081472, which 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 15 ways as a sum of consecutive naturals, for example, 745694 + ... + 747330.

Almost surely, 21222040144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323680904).

1222040144 is an abundant number, since it is smaller than the sum of its proper divisors (1425321664).

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

1222040144 is a wasteful number, since it uses less digits than its factorization.

1222040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1222040144 is about 34957.6907704156. The cubic root of 1222040144 is about 1069.1250144393.

Adding to 1222040144 its reverse (4410402221), we get a palindrome (5632442365).

The spelling of 1222040144 in words is "one billion, two hundred twenty-two million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 97 104 148 194 208 296 388 481 592 776 962 1261 1552 1637 1924 2522 3274 3589 3848 5044 6548 7178 7696 10088 13096 14356 20176 21281 26192 28712 42562 46657 57424 60569 85124 93314 121138 158789 170248 186628 242276 317578 340496 373256 484552 635156 746512 787397 969104 1270312 1574794 2064257 2540624 3149588 4128514 5875193 6299176 8257028 11750386 12598352 16514056 23500772 33028112 47001544 76377509 94003088 152755018 305510036 611020072 1222040144