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23442224432 = 2411210121187
BaseRepresentation
bin10101110101010000…
…111111010100110000
32020111201200101110112
4111311100333110300
5341002202140212
614434052120452
71456630422434
oct256520772460
966451611415
1023442224432
119a3a585200
124662906128
132297895923
1411c55249c4
15923064422
hex57543f530

23442224432 has 90 divisors (see below), whose sum is σ = 50465371572. Its totient is φ = 10541168000.

The previous prime is 23442224431. The next prime is 23442224441.

23442224432 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23442224431) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19748543 + ... + 19749729.

Almost surely, 223442224432 is an apocalyptic number.

23442224432 is a gapful number since it is divisible by the number (22) 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 23442224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25232685786).

23442224432 is an abundant number, since it is smaller than the sum of its proper divisors (27023147140).

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

23442224432 is a wasteful number, since it uses less digits than its factorization.

23442224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1301 counting only the distinct ones).

The product of its digits is 73728, while the sum is 32.

The spelling of 23442224432 in words is "twenty-three billion, four hundred forty-two million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 121 176 202 242 404 484 808 968 1111 1187 1616 1936 2222 2374 4444 4748 8888 9496 10201 12221 13057 17776 18992 20402 24442 26114 40804 48884 52228 81608 97768 104456 112211 119887 143627 163216 195536 208912 224422 239774 287254 448844 479548 574508 897688 959096 1149016 1234321 1318757 1795376 1918192 2298032 2468642 2637514 4937284 5275028 9874568 10550056 12108587 14506327 19749136 21100112 24217174 29012654 48434348 58025308 96868696 116050616 133194457 193737392 232101232 266388914 532777828 1065555656 1465139027 2131111312 2930278054 5860556108 11721112216 23442224432