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1422157296 = 243719367607
BaseRepresentation
bin101010011000100…
…0110010111110000
310200010001002001110
41110301012113300
510403033013141
6353041433320
750146065120
oct12461062760
93603032043
101422157296
1166a85290a
1233833b840
13198838ac1
14d6c3cc80
1584cbee16
hex54c465f0

1422157296 has 160 divisors (see below), whose sum is σ = 4439080960. Its totient is φ = 383263488.

The previous prime is 1422157291. The next prime is 1422157307. The reversal of 1422157296 is 6927512241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422157291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2342625 + ... + 2343231.

It is an arithmetic number, because the mean of its divisors is an integer number (27744256).

Almost surely, 21422157296 is an apocalyptic number.

1422157296 is a gapful number since it is divisible by the number (16) 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 1422157296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219540480).

1422157296 is an abundant number, since it is smaller than the sum of its proper divisors (3016923664).

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

1422157296 is a wasteful number, since it uses less digits than its factorization.

1422157296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1005 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 1422157296 is about 37711.5008452329. The cubic root of 1422157296 is about 1124.5597740284.

It can be divided in two parts, 14221 and 57296, that added together give a palindrome (71517).

The spelling of 1422157296 in words is "one billion, four hundred twenty-two million, one hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 367 399 456 532 607 734 798 912 1064 1101 1214 1468 1596 1821 2128 2202 2428 2569 2936 3192 3642 4249 4404 4856 5138 5872 6384 6973 7284 7707 8498 8808 9712 10276 11533 12747 13946 14568 15414 16996 17616 20552 20919 23066 25494 27892 29136 30828 33992 34599 41104 41838 46132 48811 50988 55784 61656 67984 69198 80731 83676 92264 97622 101976 111568 123312 138396 146433 161462 167352 184528 195244 203952 222769 242193 276792 292866 322924 334704 390488 445538 484386 553584 585732 645848 668307 780976 891076 968772 1171464 1291696 1336614 1559383 1782152 1937544 2342928 2673228 3118766 3564304 3875088 4232611 4678149 5346456 6237532 8465222 9356298 10692912 12475064 12697833 16930444 18712596 24950128 25395666 29628277 33860888 37425192 50791332 59256554 67721776 74850384 88884831 101582664 118513108 177769662 203165328 237026216 355539324 474052432 711078648 1422157296