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1201972224 = 21031920593
BaseRepresentation
bin100011110100100…
…1010010000000000
310002202201111220210
41013221022100000
54430201102344
6315134234120
741533411125
oct10751122000
93082644823
101201972224
11567533582
12296655940
1316203508b
14b58c474c
15707c9db9
hex47a4a400

1201972224 has 88 divisors (see below), whose sum is σ = 3372473440. Its totient is φ = 379551744.

The previous prime is 1201972201. The next prime is 1201972273. The reversal of 1201972224 is 4222791021.

It is a junction number, because it is equal to n+sod(n) for n = 1201972191 and 1201972200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48072 + ... + 68664.

Almost surely, 21201972224 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 1201972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686236720).

1201972224 is an abundant number, since it is smaller than the sum of its proper divisors (2170501216).

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

1201972224 is a wasteful number, since it uses less digits than its factorization.

1201972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20635 (or 20617 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1201972224 is about 34669.4710660546. The cubic root of 1201972224 is about 1063.2404174097.

The spelling of 1201972224 in words is "one billion, two hundred one million, nine hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 20593 29184 41186 58368 61779 82372 123558 164744 247116 329488 391267 494232 658976 782534 988464 1173801 1317952 1565068 1976928 2347602 2635904 3130136 3953856 4695204 5271808 6260272 7907712 9390408 10543616 12520544 15815424 18780816 21087232 25041088 31630848 37561632 50082176 63261696 75123264 100164352 150246528 200328704 300493056 400657408 600986112 1201972224